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Finding the Fourth Proportional to 10,478.88, 15,645.60 and 9,429.12

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Solution

The fourth proportional to 10,478.88, 15,645.60 and 9,429.12 is: 14,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.88 : 15,645.60 = 9,429.12 : x
  2. Step 2: Convert to fraction form
    10,478.88/15,645.60 = 9,429.12/x
  3. Step 3: Cross multiply
    10,478.88x = 15,645.60 × 9,429.12
  4. Step 4: Simplify right side
    10,478.88x = 147,524,239.87
  5. Step 5: Solve for x
    x = 147,524,239.87/10,478.88
  6. Step 6: Final answer
    x = 14,078.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.