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Finding the Fourth Proportional to 9,318.30, 12,867.03 and 6,188.46

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Solution

The fourth proportional to 9,318.30, 12,867.03 and 6,188.46 is: 8,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.30 : 12,867.03 = 6,188.46 : x
  2. Step 2: Convert to fraction form
    9,318.30/12,867.03 = 6,188.46/x
  3. Step 3: Cross multiply
    9,318.30x = 12,867.03 × 6,188.46
  4. Step 4: Simplify right side
    9,318.30x = 79,627,100.47
  5. Step 5: Solve for x
    x = 79,627,100.47/9,318.30
  6. Step 6: Final answer
    x = 8,545.24

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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.