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Finding the Fourth Proportional to 9,353.46, 12,908.90 and 6,834.30

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Solution

The fourth proportional to 9,353.46, 12,908.90 and 6,834.30 is: 9,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.46 : 12,908.90 = 6,834.30 : x
  2. Step 2: Convert to fraction form
    9,353.46/12,908.90 = 6,834.30/x
  3. Step 3: Cross multiply
    9,353.46x = 12,908.90 × 6,834.30
  4. Step 4: Simplify right side
    9,353.46x = 88,223,261.10
  5. Step 5: Solve for x
    x = 88,223,261.10/9,353.46
  6. Step 6: Final answer
    x = 9,432.15

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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.