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Finding the Fourth Proportional to 9,309.92, 12,840 and 6,320.88

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Solution

The fourth proportional to 9,309.92, 12,840 and 6,320.88 is: 8,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.92 : 12,840 = 6,320.88 : x
  2. Step 2: Convert to fraction form
    9,309.92/12,840 = 6,320.88/x
  3. Step 3: Cross multiply
    9,309.92x = 12,840 × 6,320.88
  4. Step 4: Simplify right side
    9,309.92x = 81,160,099.20
  5. Step 5: Solve for x
    x = 81,160,099.20/9,309.92
  6. Step 6: Final answer
    x = 8,717.59

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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.