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Finding the Fourth Proportional to 9,102.50, 12,561.85 and 5,123.87

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Solution

The fourth proportional to 9,102.50, 12,561.85 and 5,123.87 is: 7,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.50 : 12,561.85 = 5,123.87 : x
  2. Step 2: Convert to fraction form
    9,102.50/12,561.85 = 5,123.87/x
  3. Step 3: Cross multiply
    9,102.50x = 12,561.85 × 5,123.87
  4. Step 4: Simplify right side
    9,102.50x = 64,365,223.55
  5. Step 5: Solve for x
    x = 64,365,223.55/9,102.50
  6. Step 6: Final answer
    x = 7,071.16

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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.