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Finding the Fourth Proportional to 9,003.16, 12,429.68 and 6,491.76

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Solution

The fourth proportional to 9,003.16, 12,429.68 and 6,491.76 is: 8,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.16 : 12,429.68 = 6,491.76 : x
  2. Step 2: Convert to fraction form
    9,003.16/12,429.68 = 6,491.76/x
  3. Step 3: Cross multiply
    9,003.16x = 12,429.68 × 6,491.76
  4. Step 4: Simplify right side
    9,003.16x = 80,690,499.44
  5. Step 5: Solve for x
    x = 80,690,499.44/9,003.16
  6. Step 6: Final answer
    x = 8,962.46

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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.