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Finding the Fourth Proportional to 10,107.92, 15,133.08 and 9,117.20

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Solution

The fourth proportional to 10,107.92, 15,133.08 and 9,117.20 is: 13,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.92 : 15,133.08 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    10,107.92/15,133.08 = 9,117.20/x
  3. Step 3: Cross multiply
    10,107.92x = 15,133.08 × 9,117.20
  4. Step 4: Simplify right side
    10,107.92x = 137,971,316.98
  5. Step 5: Solve for x
    x = 137,971,316.98/10,107.92
  6. Step 6: Final answer
    x = 13,649.82

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