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Finding the Fourth Proportional to 9,821.70, 13,557.78 and 6,286.86

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Solution

The fourth proportional to 9,821.70, 13,557.78 and 6,286.86 is: 8,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.70 : 13,557.78 = 6,286.86 : x
  2. Step 2: Convert to fraction form
    9,821.70/13,557.78 = 6,286.86/x
  3. Step 3: Cross multiply
    9,821.70x = 13,557.78 × 6,286.86
  4. Step 4: Simplify right side
    9,821.70x = 85,235,864.77
  5. Step 5: Solve for x
    x = 85,235,864.77/9,821.70
  6. Step 6: Final answer
    x = 8,678.32

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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.