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Finding the Fourth Proportional to 8,429.17, 12,646.49 and 4,046.97

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Solution

The fourth proportional to 8,429.17, 12,646.49 and 4,046.97 is: 6,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.17 : 12,646.49 = 4,046.97 : x
  2. Step 2: Convert to fraction form
    8,429.17/12,646.49 = 4,046.97/x
  3. Step 3: Cross multiply
    8,429.17x = 12,646.49 × 4,046.97
  4. Step 4: Simplify right side
    8,429.17x = 51,179,965.64
  5. Step 5: Solve for x
    x = 51,179,965.64/8,429.17
  6. Step 6: Final answer
    x = 6,071.77

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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.