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Finding the Fourth Proportional to 9,125.64, 13,692.60 and 3,862.08

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Solution

The fourth proportional to 9,125.64, 13,692.60 and 3,862.08 is: 5,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.64 : 13,692.60 = 3,862.08 : x
  2. Step 2: Convert to fraction form
    9,125.64/13,692.60 = 3,862.08/x
  3. Step 3: Cross multiply
    9,125.64x = 13,692.60 × 3,862.08
  4. Step 4: Simplify right side
    9,125.64x = 52,881,916.61
  5. Step 5: Solve for x
    x = 52,881,916.61/9,125.64
  6. Step 6: Final answer
    x = 5,794.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.