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Finding the Fourth Proportional to 9,177.95, 12,661.44 and 5,639.87

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Solution

The fourth proportional to 9,177.95, 12,661.44 and 5,639.87 is: 7,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.95 : 12,661.44 = 5,639.87 : x
  2. Step 2: Convert to fraction form
    9,177.95/12,661.44 = 5,639.87/x
  3. Step 3: Cross multiply
    9,177.95x = 12,661.44 × 5,639.87
  4. Step 4: Simplify right side
    9,177.95x = 71,408,875.61
  5. Step 5: Solve for x
    x = 71,408,875.61/9,177.95
  6. Step 6: Final answer
    x = 7,780.48

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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.