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Finding the Fourth Proportional to 6,423.20, 9,631.20 and 2,956.16

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Solution

The fourth proportional to 6,423.20, 9,631.20 and 2,956.16 is: 4,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.20 : 9,631.20 = 2,956.16 : x
  2. Step 2: Convert to fraction form
    6,423.20/9,631.20 = 2,956.16/x
  3. Step 3: Cross multiply
    6,423.20x = 9,631.20 × 2,956.16
  4. Step 4: Simplify right side
    6,423.20x = 28,471,368.19
  5. Step 5: Solve for x
    x = 28,471,368.19/6,423.20
  6. Step 6: Final answer
    x = 4,432.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.