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Finding the Fourth Proportional to 6,339.60, 9,463.59 and 5,562

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Solution

The fourth proportional to 6,339.60, 9,463.59 and 5,562 is: 8,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.60 : 9,463.59 = 5,562 : x
  2. Step 2: Convert to fraction form
    6,339.60/9,463.59 = 5,562/x
  3. Step 3: Cross multiply
    6,339.60x = 9,463.59 × 5,562
  4. Step 4: Simplify right side
    6,339.60x = 52,636,487.58
  5. Step 5: Solve for x
    x = 52,636,487.58/6,339.60
  6. Step 6: Final answer
    x = 8,302.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.