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Finding the Fourth Proportional to 9,678.27, 14,479.59 and 8,498.91

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Solution

The fourth proportional to 9,678.27, 14,479.59 and 8,498.91 is: 12,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.27 : 14,479.59 = 8,498.91 : x
  2. Step 2: Convert to fraction form
    9,678.27/14,479.59 = 8,498.91/x
  3. Step 3: Cross multiply
    9,678.27x = 14,479.59 × 8,498.91
  4. Step 4: Simplify right side
    9,678.27x = 123,060,732.25
  5. Step 5: Solve for x
    x = 123,060,732.25/9,678.27
  6. Step 6: Final answer
    x = 12,715.16

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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.