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Finding the Fourth Proportional to 10,197.31, 14,077.23 and 6,838.89

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Solution

The fourth proportional to 10,197.31, 14,077.23 and 6,838.89 is: 9,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.31 : 14,077.23 = 6,838.89 : x
  2. Step 2: Convert to fraction form
    10,197.31/14,077.23 = 6,838.89/x
  3. Step 3: Cross multiply
    10,197.31x = 14,077.23 × 6,838.89
  4. Step 4: Simplify right side
    10,197.31x = 96,272,593.28
  5. Step 5: Solve for x
    x = 96,272,593.28/10,197.31
  6. Step 6: Final answer
    x = 9,440.98

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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.