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Finding the Fourth Proportional to 9,660.96, 13,332.18 and 5,682.24

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Solution

The fourth proportional to 9,660.96, 13,332.18 and 5,682.24 is: 7,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.96 : 13,332.18 = 5,682.24 : x
  2. Step 2: Convert to fraction form
    9,660.96/13,332.18 = 5,682.24/x
  3. Step 3: Cross multiply
    9,660.96x = 13,332.18 × 5,682.24
  4. Step 4: Simplify right side
    9,660.96x = 75,756,646.48
  5. Step 5: Solve for x
    x = 75,756,646.48/9,660.96
  6. Step 6: Final answer
    x = 7,841.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.