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Finding the Fourth Proportional to 9,339, 12,865.90 and 6,501.48

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Solution

The fourth proportional to 9,339, 12,865.90 and 6,501.48 is: 8,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339 : 12,865.90 = 6,501.48 : x
  2. Step 2: Convert to fraction form
    9,339/12,865.90 = 6,501.48/x
  3. Step 3: Cross multiply
    9,339x = 12,865.90 × 6,501.48
  4. Step 4: Simplify right side
    9,339x = 83,647,391.53
  5. Step 5: Solve for x
    x = 83,647,391.53/9,339
  6. Step 6: Final answer
    x = 8,956.78

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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.