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Finding the Fourth Proportional to 10,463.62, 14,434.86 and 6,684.82

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Solution

The fourth proportional to 10,463.62, 14,434.86 and 6,684.82 is: 9,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.62 : 14,434.86 = 6,684.82 : x
  2. Step 2: Convert to fraction form
    10,463.62/14,434.86 = 6,684.82/x
  3. Step 3: Cross multiply
    10,463.62x = 14,434.86 × 6,684.82
  4. Step 4: Simplify right side
    10,463.62x = 96,494,440.83
  5. Step 5: Solve for x
    x = 96,494,440.83/10,463.62
  6. Step 6: Final answer
    x = 9,221.90

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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.