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Finding the Fourth Proportional to 9,632.76, 14,449.18 and 3,476.76

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Solution

The fourth proportional to 9,632.76, 14,449.18 and 3,476.76 is: 5,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.76 : 14,449.18 = 3,476.76 : x
  2. Step 2: Convert to fraction form
    9,632.76/14,449.18 = 3,476.76/x
  3. Step 3: Cross multiply
    9,632.76x = 14,449.18 × 3,476.76
  4. Step 4: Simplify right side
    9,632.76x = 50,236,331.06
  5. Step 5: Solve for x
    x = 50,236,331.06/9,632.76
  6. Step 6: Final answer
    x = 5,215.15

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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.