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Finding the Fourth Proportional to 9,126.52, 12,576 and 6,294.76

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Solution

The fourth proportional to 9,126.52, 12,576 and 6,294.76 is: 8,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.52 : 12,576 = 6,294.76 : x
  2. Step 2: Convert to fraction form
    9,126.52/12,576 = 6,294.76/x
  3. Step 3: Cross multiply
    9,126.52x = 12,576 × 6,294.76
  4. Step 4: Simplify right side
    9,126.52x = 79,162,901.76
  5. Step 5: Solve for x
    x = 79,162,901.76/9,126.52
  6. Step 6: Final answer
    x = 8,673.94

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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.