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Finding the Fourth Proportional to 9,103.89, 12,564.57 and 5,125.78

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Solution

The fourth proportional to 9,103.89, 12,564.57 and 5,125.78 is: 7,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.89 : 12,564.57 = 5,125.78 : x
  2. Step 2: Convert to fraction form
    9,103.89/12,564.57 = 5,125.78/x
  3. Step 3: Cross multiply
    9,103.89x = 12,564.57 × 5,125.78
  4. Step 4: Simplify right side
    9,103.89x = 64,403,221.61
  5. Step 5: Solve for x
    x = 64,403,221.61/9,103.89
  6. Step 6: Final answer
    x = 7,074.25

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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.