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Finding the Fourth Proportional to 10,432.84, 15,568.37 and 9,325

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Solution

The fourth proportional to 10,432.84, 15,568.37 and 9,325 is: 13,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.84 : 15,568.37 = 9,325 : x
  2. Step 2: Convert to fraction form
    10,432.84/15,568.37 = 9,325/x
  3. Step 3: Cross multiply
    10,432.84x = 15,568.37 × 9,325
  4. Step 4: Simplify right side
    10,432.84x = 145,175,050.25
  5. Step 5: Solve for x
    x = 145,175,050.25/10,432.84
  6. Step 6: Final answer
    x = 13,915.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.