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Finding the Fourth Proportional to 9,229.85, 12,737.49 and 5,038.10

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Solution

The fourth proportional to 9,229.85, 12,737.49 and 5,038.10 is: 6,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.85 : 12,737.49 = 5,038.10 : x
  2. Step 2: Convert to fraction form
    9,229.85/12,737.49 = 5,038.10/x
  3. Step 3: Cross multiply
    9,229.85x = 12,737.49 × 5,038.10
  4. Step 4: Simplify right side
    9,229.85x = 64,172,748.37
  5. Step 5: Solve for x
    x = 64,172,748.37/9,229.85
  6. Step 6: Final answer
    x = 6,952.74

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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.