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Finding the Fourth Proportional to 9,702.79, 14,542.02 and 4,149.62

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Solution

The fourth proportional to 9,702.79, 14,542.02 and 4,149.62 is: 6,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.79 : 14,542.02 = 4,149.62 : x
  2. Step 2: Convert to fraction form
    9,702.79/14,542.02 = 4,149.62/x
  3. Step 3: Cross multiply
    9,702.79x = 14,542.02 × 4,149.62
  4. Step 4: Simplify right side
    9,702.79x = 60,343,763.57
  5. Step 5: Solve for x
    x = 60,343,763.57/9,702.79
  6. Step 6: Final answer
    x = 6,219.22

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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.