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Finding the Fourth Proportional to 9,956.70, 14,926.08 and 3,712.32

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Solution

The fourth proportional to 9,956.70, 14,926.08 and 3,712.32 is: 5,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.70 : 14,926.08 = 3,712.32 : x
  2. Step 2: Convert to fraction form
    9,956.70/14,926.08 = 3,712.32/x
  3. Step 3: Cross multiply
    9,956.70x = 14,926.08 × 3,712.32
  4. Step 4: Simplify right side
    9,956.70x = 55,410,385.31
  5. Step 5: Solve for x
    x = 55,410,385.31/9,956.70
  6. Step 6: Final answer
    x = 5,565.14

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Why These Related Problems?

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