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Finding the Fourth Proportional to 6,562.34, 9,056.02 and 3,578.17

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Solution

The fourth proportional to 6,562.34, 9,056.02 and 3,578.17 is: 4,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.34 : 9,056.02 = 3,578.17 : x
  2. Step 2: Convert to fraction form
    6,562.34/9,056.02 = 3,578.17/x
  3. Step 3: Cross multiply
    6,562.34x = 9,056.02 × 3,578.17
  4. Step 4: Simplify right side
    6,562.34x = 32,403,979.08
  5. Step 5: Solve for x
    x = 32,403,979.08/6,562.34
  6. Step 6: Final answer
    x = 4,937.87

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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.