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Finding the Fourth Proportional to 9,068.46, 12,511.89 and 5,882.64

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Solution

The fourth proportional to 9,068.46, 12,511.89 and 5,882.64 is: 8,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.46 : 12,511.89 = 5,882.64 : x
  2. Step 2: Convert to fraction form
    9,068.46/12,511.89 = 5,882.64/x
  3. Step 3: Cross multiply
    9,068.46x = 12,511.89 × 5,882.64
  4. Step 4: Simplify right side
    9,068.46x = 73,602,944.59
  5. Step 5: Solve for x
    x = 73,602,944.59/9,068.46
  6. Step 6: Final answer
    x = 8,116.37

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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.