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Finding the Fourth Proportional to 9,178.92, 12,666.96 and 5,402.25

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Solution

The fourth proportional to 9,178.92, 12,666.96 and 5,402.25 is: 7,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.92 : 12,666.96 = 5,402.25 : x
  2. Step 2: Convert to fraction form
    9,178.92/12,666.96 = 5,402.25/x
  3. Step 3: Cross multiply
    9,178.92x = 12,666.96 × 5,402.25
  4. Step 4: Simplify right side
    9,178.92x = 68,430,084.66
  5. Step 5: Solve for x
    x = 68,430,084.66/9,178.92
  6. Step 6: Final answer
    x = 7,455.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.