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Finding the Fourth Proportional to 6,702.16, 9,248.92 and 4,049.56

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Solution

The fourth proportional to 6,702.16, 9,248.92 and 4,049.56 is: 5,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.16 : 9,248.92 = 4,049.56 : x
  2. Step 2: Convert to fraction form
    6,702.16/9,248.92 = 4,049.56/x
  3. Step 3: Cross multiply
    6,702.16x = 9,248.92 × 4,049.56
  4. Step 4: Simplify right side
    6,702.16x = 37,454,056.48
  5. Step 5: Solve for x
    x = 37,454,056.48/6,702.16
  6. Step 6: Final answer
    x = 5,588.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.