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Finding the Fourth Proportional to 10,209.76, 14,089.42 and 5,963.74

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Solution

The fourth proportional to 10,209.76, 14,089.42 and 5,963.74 is: 8,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.76 : 14,089.42 = 5,963.74 : x
  2. Step 2: Convert to fraction form
    10,209.76/14,089.42 = 5,963.74/x
  3. Step 3: Cross multiply
    10,209.76x = 14,089.42 × 5,963.74
  4. Step 4: Simplify right side
    10,209.76x = 84,025,587.50
  5. Step 5: Solve for x
    x = 84,025,587.50/10,209.76
  6. Step 6: Final answer
    x = 8,229.93

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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.