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Finding the Fourth Proportional to 9,178.88, 12,667.13 and 6,494.91

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Solution

The fourth proportional to 9,178.88, 12,667.13 and 6,494.91 is: 8,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.88 : 12,667.13 = 6,494.91 : x
  2. Step 2: Convert to fraction form
    9,178.88/12,667.13 = 6,494.91/x
  3. Step 3: Cross multiply
    9,178.88x = 12,667.13 × 6,494.91
  4. Step 4: Simplify right side
    9,178.88x = 82,271,869.31
  5. Step 5: Solve for x
    x = 82,271,869.31/9,178.88
  6. Step 6: Final answer
    x = 8,963.17

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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.