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Finding the Fourth Proportional to 9,142.74, 12,618.18 and 5,165.10

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Solution

The fourth proportional to 9,142.74, 12,618.18 and 5,165.10 is: 7,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.74 : 12,618.18 = 5,165.10 : x
  2. Step 2: Convert to fraction form
    9,142.74/12,618.18 = 5,165.10/x
  3. Step 3: Cross multiply
    9,142.74x = 12,618.18 × 5,165.10
  4. Step 4: Simplify right side
    9,142.74x = 65,174,161.52
  5. Step 5: Solve for x
    x = 65,174,161.52/9,142.74
  6. Step 6: Final answer
    x = 7,128.52

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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.