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Finding the Fourth Proportional to 10,324.41, 14,249.95 and 6,787.95

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Solution

The fourth proportional to 10,324.41, 14,249.95 and 6,787.95 is: 9,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.41 : 14,249.95 = 6,787.95 : x
  2. Step 2: Convert to fraction form
    10,324.41/14,249.95 = 6,787.95/x
  3. Step 3: Cross multiply
    10,324.41x = 14,249.95 × 6,787.95
  4. Step 4: Simplify right side
    10,324.41x = 96,727,914.16
  5. Step 5: Solve for x
    x = 96,727,914.16/10,324.41
  6. Step 6: Final answer
    x = 9,368.86

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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.