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Finding the Fourth Proportional to 6,834.36, 9,432.95 and 4,475.13

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Solution

The fourth proportional to 6,834.36, 9,432.95 and 4,475.13 is: 6,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.36 : 9,432.95 = 4,475.13 : x
  2. Step 2: Convert to fraction form
    6,834.36/9,432.95 = 4,475.13/x
  3. Step 3: Cross multiply
    6,834.36x = 9,432.95 × 4,475.13
  4. Step 4: Simplify right side
    6,834.36x = 42,213,677.53
  5. Step 5: Solve for x
    x = 42,213,677.53/6,834.36
  6. Step 6: Final answer
    x = 6,176.68

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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.