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Finding the Fourth Proportional to 9,092.98, 12,547.87 and 5,114.47

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Solution

The fourth proportional to 9,092.98, 12,547.87 and 5,114.47 is: 7,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.98 : 12,547.87 = 5,114.47 : x
  2. Step 2: Convert to fraction form
    9,092.98/12,547.87 = 5,114.47/x
  3. Step 3: Cross multiply
    9,092.98x = 12,547.87 × 5,114.47
  4. Step 4: Simplify right side
    9,092.98x = 64,175,704.68
  5. Step 5: Solve for x
    x = 64,175,704.68/9,092.98
  6. Step 6: Final answer
    x = 7,057.72

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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.