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Finding the Fourth Proportional to 9,342.32, 14,011.80 and 4,660.76

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Solution

The fourth proportional to 9,342.32, 14,011.80 and 4,660.76 is: 6,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.32 : 14,011.80 = 4,660.76 : x
  2. Step 2: Convert to fraction form
    9,342.32/14,011.80 = 4,660.76/x
  3. Step 3: Cross multiply
    9,342.32x = 14,011.80 × 4,660.76
  4. Step 4: Simplify right side
    9,342.32x = 65,305,636.97
  5. Step 5: Solve for x
    x = 65,305,636.97/9,342.32
  6. Step 6: Final answer
    x = 6,990.30

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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.