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Finding the Fourth Proportional to 9,092.78, 12,547.20 and 5,114.24

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Solution

The fourth proportional to 9,092.78, 12,547.20 and 5,114.24 is: 7,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.78 : 12,547.20 = 5,114.24 : x
  2. Step 2: Convert to fraction form
    9,092.78/12,547.20 = 5,114.24/x
  3. Step 3: Cross multiply
    9,092.78x = 12,547.20 × 5,114.24
  4. Step 4: Simplify right side
    9,092.78x = 64,169,392.13
  5. Step 5: Solve for x
    x = 64,169,392.13/9,092.78
  6. Step 6: Final answer
    x = 7,057.18

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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.