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Finding the Fourth Proportional to 9,659,943.20, 14,477,473.20 and 7,404,903.20

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Solution

The fourth proportional to 9,659,943.20, 14,477,473.20 and 7,404,903.20 is: 11,097,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,943.20 : 14,477,473.20 = 7,404,903.20 : x
  2. Step 2: Convert to fraction form
    9,659,943.20/14,477,473.20 = 7,404,903.20/x
  3. Step 3: Cross multiply
    9,659,943.20x = 14,477,473.20 × 7,404,903.20
  4. Step 4: Simplify right side
    9,659,943.20x = 107,204,287,626,594.23
  5. Step 5: Solve for x
    x = 107,204,287,626,594.23/9,659,943.20
  6. Step 6: Final answer
    x = 11,097,817.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.