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Finding the Fourth Proportional to 6,894.14, 9,538.98 and 6,011.78

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Solution

The fourth proportional to 6,894.14, 9,538.98 and 6,011.78 is: 8,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.14 : 9,538.98 = 6,011.78 : x
  2. Step 2: Convert to fraction form
    6,894.14/9,538.98 = 6,011.78/x
  3. Step 3: Cross multiply
    6,894.14x = 9,538.98 × 6,011.78
  4. Step 4: Simplify right side
    6,894.14x = 57,346,249.18
  5. Step 5: Solve for x
    x = 57,346,249.18/6,894.14
  6. Step 6: Final answer
    x = 8,318.11

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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.