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Finding the Fourth Proportional to 9,125.78, 12,593.75 and 5,146.11

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Solution

The fourth proportional to 9,125.78, 12,593.75 and 5,146.11 is: 7,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.78 : 12,593.75 = 5,146.11 : x
  2. Step 2: Convert to fraction form
    9,125.78/12,593.75 = 5,146.11/x
  3. Step 3: Cross multiply
    9,125.78x = 12,593.75 × 5,146.11
  4. Step 4: Simplify right side
    9,125.78x = 64,808,822.81
  5. Step 5: Solve for x
    x = 64,808,822.81/9,125.78
  6. Step 6: Final answer
    x = 7,101.73

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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.