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Finding the Fourth Proportional to 9,892, 13,650.96 and 5,702.68

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Solution

The fourth proportional to 9,892, 13,650.96 and 5,702.68 is: 7,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892 : 13,650.96 = 5,702.68 : x
  2. Step 2: Convert to fraction form
    9,892/13,650.96 = 5,702.68/x
  3. Step 3: Cross multiply
    9,892x = 13,650.96 × 5,702.68
  4. Step 4: Simplify right side
    9,892x = 77,847,056.57
  5. Step 5: Solve for x
    x = 77,847,056.57/9,892
  6. Step 6: Final answer
    x = 7,869.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.