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Finding the Fourth Proportional to 9,416.91, 14,103.08 and 8,177.58

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Solution

The fourth proportional to 9,416.91, 14,103.08 and 8,177.58 is: 12,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.91 : 14,103.08 = 8,177.58 : x
  2. Step 2: Convert to fraction form
    9,416.91/14,103.08 = 8,177.58/x
  3. Step 3: Cross multiply
    9,416.91x = 14,103.08 × 8,177.58
  4. Step 4: Simplify right side
    9,416.91x = 115,329,064.95
  5. Step 5: Solve for x
    x = 115,329,064.95/9,416.91
  6. Step 6: Final answer
    x = 12,247.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.