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Finding the Fourth Proportional to 6,663.52, 9,975.84 and 3,881.76

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Solution

The fourth proportional to 6,663.52, 9,975.84 and 3,881.76 is: 5,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.52 : 9,975.84 = 3,881.76 : x
  2. Step 2: Convert to fraction form
    6,663.52/9,975.84 = 3,881.76/x
  3. Step 3: Cross multiply
    6,663.52x = 9,975.84 × 3,881.76
  4. Step 4: Simplify right side
    6,663.52x = 38,723,816.68
  5. Step 5: Solve for x
    x = 38,723,816.68/6,663.52
  6. Step 6: Final answer
    x = 5,811.32

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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.