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Finding the Fourth Proportional to 9,702.47, 14,555.12 and 3,128.91

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Solution

The fourth proportional to 9,702.47, 14,555.12 and 3,128.91 is: 4,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.47 : 14,555.12 = 3,128.91 : x
  2. Step 2: Convert to fraction form
    9,702.47/14,555.12 = 3,128.91/x
  3. Step 3: Cross multiply
    9,702.47x = 14,555.12 × 3,128.91
  4. Step 4: Simplify right side
    9,702.47x = 45,541,644.87
  5. Step 5: Solve for x
    x = 45,541,644.87/9,702.47
  6. Step 6: Final answer
    x = 4,693.82

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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.