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Finding the Fourth Proportional to 6,497.18, 8,963.70 and 4,260.28

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Solution

The fourth proportional to 6,497.18, 8,963.70 and 4,260.28 is: 5,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.18 : 8,963.70 = 4,260.28 : x
  2. Step 2: Convert to fraction form
    6,497.18/8,963.70 = 4,260.28/x
  3. Step 3: Cross multiply
    6,497.18x = 8,963.70 × 4,260.28
  4. Step 4: Simplify right side
    6,497.18x = 38,187,871.84
  5. Step 5: Solve for x
    x = 38,187,871.84/6,497.18
  6. Step 6: Final answer
    x = 5,877.61

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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.