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Finding the Fourth Proportional to 9,282.34, 13,916.90 and 4,349.30

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Solution

The fourth proportional to 9,282.34, 13,916.90 and 4,349.30 is: 6,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.34 : 13,916.90 = 4,349.30 : x
  2. Step 2: Convert to fraction form
    9,282.34/13,916.90 = 4,349.30/x
  3. Step 3: Cross multiply
    9,282.34x = 13,916.90 × 4,349.30
  4. Step 4: Simplify right side
    9,282.34x = 60,528,773.17
  5. Step 5: Solve for x
    x = 60,528,773.17/9,282.34
  6. Step 6: Final answer
    x = 6,520.85

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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.