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Finding the Fourth Proportional to 9,177.96, 12,661.44 and 5,639.88

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Solution

The fourth proportional to 9,177.96, 12,661.44 and 5,639.88 is: 7,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.96 : 12,661.44 = 5,639.88 : x
  2. Step 2: Convert to fraction form
    9,177.96/12,661.44 = 5,639.88/x
  3. Step 3: Cross multiply
    9,177.96x = 12,661.44 × 5,639.88
  4. Step 4: Simplify right side
    9,177.96x = 71,409,002.23
  5. Step 5: Solve for x
    x = 71,409,002.23/9,177.96
  6. Step 6: Final answer
    x = 7,780.49

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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.