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Finding the Fourth Proportional to 9,702.20, 14,543.91 and 3,123.92

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Solution

The fourth proportional to 9,702.20, 14,543.91 and 3,123.92 is: 4,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.20 : 14,543.91 = 3,123.92 : x
  2. Step 2: Convert to fraction form
    9,702.20/14,543.91 = 3,123.92/x
  3. Step 3: Cross multiply
    9,702.20x = 14,543.91 × 3,123.92
  4. Step 4: Simplify right side
    9,702.20x = 45,434,011.33
  5. Step 5: Solve for x
    x = 45,434,011.33/9,702.20
  6. Step 6: Final answer
    x = 4,682.86

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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.