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Finding the Fourth Proportional to 9,414.74, 12,992.47 and 5,165.72

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Solution

The fourth proportional to 9,414.74, 12,992.47 and 5,165.72 is: 7,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.74 : 12,992.47 = 5,165.72 : x
  2. Step 2: Convert to fraction form
    9,414.74/12,992.47 = 5,165.72/x
  3. Step 3: Cross multiply
    9,414.74x = 12,992.47 × 5,165.72
  4. Step 4: Simplify right side
    9,414.74x = 67,115,462.13
  5. Step 5: Solve for x
    x = 67,115,462.13/9,414.74
  6. Step 6: Final answer
    x = 7,128.76

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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.