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Finding the Fourth Proportional to 6,400.16, 9,601.55 and 2,702.39

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Solution

The fourth proportional to 6,400.16, 9,601.55 and 2,702.39 is: 4,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.16 : 9,601.55 = 2,702.39 : x
  2. Step 2: Convert to fraction form
    6,400.16/9,601.55 = 2,702.39/x
  3. Step 3: Cross multiply
    6,400.16x = 9,601.55 × 2,702.39
  4. Step 4: Simplify right side
    6,400.16x = 25,947,132.70
  5. Step 5: Solve for x
    x = 25,947,132.70/6,400.16
  6. Step 6: Final answer
    x = 4,054.14

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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.