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Finding the Fourth Proportional to 9,177.68, 12,667.21 and 6,034.16

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Solution

The fourth proportional to 9,177.68, 12,667.21 and 6,034.16 is: 8,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.68 : 12,667.21 = 6,034.16 : x
  2. Step 2: Convert to fraction form
    9,177.68/12,667.21 = 6,034.16/x
  3. Step 3: Cross multiply
    9,177.68x = 12,667.21 × 6,034.16
  4. Step 4: Simplify right side
    9,177.68x = 76,435,908.56
  5. Step 5: Solve for x
    x = 76,435,908.56/9,177.68
  6. Step 6: Final answer
    x = 8,328.46

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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.