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Finding the Fourth Proportional to 6,877.28, 9,487.68 and 4,578.32

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Solution

The fourth proportional to 6,877.28, 9,487.68 and 4,578.32 is: 6,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.28 : 9,487.68 = 4,578.32 : x
  2. Step 2: Convert to fraction form
    6,877.28/9,487.68 = 4,578.32/x
  3. Step 3: Cross multiply
    6,877.28x = 9,487.68 × 4,578.32
  4. Step 4: Simplify right side
    6,877.28x = 43,437,635.10
  5. Step 5: Solve for x
    x = 43,437,635.10/6,877.28
  6. Step 6: Final answer
    x = 6,316.11

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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.