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Finding the Fourth Proportional to 9,102.60, 12,561.66 and 5,125.14

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Solution

The fourth proportional to 9,102.60, 12,561.66 and 5,125.14 is: 7,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.60 : 12,561.66 = 5,125.14 : x
  2. Step 2: Convert to fraction form
    9,102.60/12,561.66 = 5,125.14/x
  3. Step 3: Cross multiply
    9,102.60x = 12,561.66 × 5,125.14
  4. Step 4: Simplify right side
    9,102.60x = 64,380,266.13
  5. Step 5: Solve for x
    x = 64,380,266.13/9,102.60
  6. Step 6: Final answer
    x = 7,072.73

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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.