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Finding the Fourth Proportional to 9,956.92, 13,737.70 and 6,422.16

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Solution

The fourth proportional to 9,956.92, 13,737.70 and 6,422.16 is: 8,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.92 : 13,737.70 = 6,422.16 : x
  2. Step 2: Convert to fraction form
    9,956.92/13,737.70 = 6,422.16/x
  3. Step 3: Cross multiply
    9,956.92x = 13,737.70 × 6,422.16
  4. Step 4: Simplify right side
    9,956.92x = 88,225,707.43
  5. Step 5: Solve for x
    x = 88,225,707.43/9,956.92
  6. Step 6: Final answer
    x = 8,860.74

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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.