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Finding the Fourth Proportional to 9,702.20, 14,541.12 and 4,149.02

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Solution

The fourth proportional to 9,702.20, 14,541.12 and 4,149.02 is: 6,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.20 : 14,541.12 = 4,149.02 : x
  2. Step 2: Convert to fraction form
    9,702.20/14,541.12 = 4,149.02/x
  3. Step 3: Cross multiply
    9,702.20x = 14,541.12 × 4,149.02
  4. Step 4: Simplify right side
    9,702.20x = 60,331,397.70
  5. Step 5: Solve for x
    x = 60,331,397.70/9,702.20
  6. Step 6: Final answer
    x = 6,218.32

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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.