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Finding the Fourth Proportional to 6,463.06, 9,689.88 and 2,951.17

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Solution

The fourth proportional to 6,463.06, 9,689.88 and 2,951.17 is: 4,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.06 : 9,689.88 = 2,951.17 : x
  2. Step 2: Convert to fraction form
    6,463.06/9,689.88 = 2,951.17/x
  3. Step 3: Cross multiply
    6,463.06x = 9,689.88 × 2,951.17
  4. Step 4: Simplify right side
    6,463.06x = 28,596,434.71
  5. Step 5: Solve for x
    x = 28,596,434.71/6,463.06
  6. Step 6: Final answer
    x = 4,424.60

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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.