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Finding the Fourth Proportional to 10,369.31, 14,306.01 and 6,335.04

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Solution

The fourth proportional to 10,369.31, 14,306.01 and 6,335.04 is: 8,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.31 : 14,306.01 = 6,335.04 : x
  2. Step 2: Convert to fraction form
    10,369.31/14,306.01 = 6,335.04/x
  3. Step 3: Cross multiply
    10,369.31x = 14,306.01 × 6,335.04
  4. Step 4: Simplify right side
    10,369.31x = 90,629,145.59
  5. Step 5: Solve for x
    x = 90,629,145.59/10,369.31
  6. Step 6: Final answer
    x = 8,740.14

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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.