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Finding the Fourth Proportional to 8,434.62, 11,639.99 and 4,657.84

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Solution

The fourth proportional to 8,434.62, 11,639.99 and 4,657.84 is: 6,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.62 : 11,639.99 = 4,657.84 : x
  2. Step 2: Convert to fraction form
    8,434.62/11,639.99 = 4,657.84/x
  3. Step 3: Cross multiply
    8,434.62x = 11,639.99 × 4,657.84
  4. Step 4: Simplify right side
    8,434.62x = 54,217,193.57
  5. Step 5: Solve for x
    x = 54,217,193.57/8,434.62
  6. Step 6: Final answer
    x = 6,427.94

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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.