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Finding the Fourth Proportional to 9,125.61, 12,593.34 and 5,146.71

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Solution

The fourth proportional to 9,125.61, 12,593.34 and 5,146.71 is: 7,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.61 : 12,593.34 = 5,146.71 : x
  2. Step 2: Convert to fraction form
    9,125.61/12,593.34 = 5,146.71/x
  3. Step 3: Cross multiply
    9,125.61x = 12,593.34 × 5,146.71
  4. Step 4: Simplify right side
    9,125.61x = 64,814,265.35
  5. Step 5: Solve for x
    x = 64,814,265.35/9,125.61
  6. Step 6: Final answer
    x = 7,102.46

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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.