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Finding the Fourth Proportional to 9,903.60, 14,851.80 and 4,971.60

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Solution

The fourth proportional to 9,903.60, 14,851.80 and 4,971.60 is: 7,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.60 : 14,851.80 = 4,971.60 : x
  2. Step 2: Convert to fraction form
    9,903.60/14,851.80 = 4,971.60/x
  3. Step 3: Cross multiply
    9,903.60x = 14,851.80 × 4,971.60
  4. Step 4: Simplify right side
    9,903.60x = 73,837,208.88
  5. Step 5: Solve for x
    x = 73,837,208.88/9,903.60
  6. Step 6: Final answer
    x = 7,455.59

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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.