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Finding the Fourth Proportional to 9,685.69, 14,508.82 and 8,878.38

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Solution

The fourth proportional to 9,685.69, 14,508.82 and 8,878.38 is: 13,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.69 : 14,508.82 = 8,878.38 : x
  2. Step 2: Convert to fraction form
    9,685.69/14,508.82 = 8,878.38/x
  3. Step 3: Cross multiply
    9,685.69x = 14,508.82 × 8,878.38
  4. Step 4: Simplify right side
    9,685.69x = 128,814,778.40
  5. Step 5: Solve for x
    x = 128,814,778.40/9,685.69
  6. Step 6: Final answer
    x = 13,299.49

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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.