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Finding the Fourth Proportional to 9,318.20, 12,818.72 and 8,178.93

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Solution

The fourth proportional to 9,318.20, 12,818.72 and 8,178.93 is: 11,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.20 : 12,818.72 = 8,178.93 : x
  2. Step 2: Convert to fraction form
    9,318.20/12,818.72 = 8,178.93/x
  3. Step 3: Cross multiply
    9,318.20x = 12,818.72 × 8,178.93
  4. Step 4: Simplify right side
    9,318.20x = 104,843,434.02
  5. Step 5: Solve for x
    x = 104,843,434.02/9,318.20
  6. Step 6: Final answer
    x = 11,251.47

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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.