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Finding the Fourth Proportional to 9,346,537.60, 14,019,806.40 and 3,666,947.20

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Solution

The fourth proportional to 9,346,537.60, 14,019,806.40 and 3,666,947.20 is: 5,500,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346,537.60 : 14,019,806.40 = 3,666,947.20 : x
  2. Step 2: Convert to fraction form
    9,346,537.60/14,019,806.40 = 3,666,947.20/x
  3. Step 3: Cross multiply
    9,346,537.60x = 14,019,806.40 × 3,666,947.20
  4. Step 4: Simplify right side
    9,346,537.60x = 51,409,889,823,022.09
  5. Step 5: Solve for x
    x = 51,409,889,823,022.09/9,346,537.60
  6. Step 6: Final answer
    x = 5,500,420.80

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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.