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Finding the Fourth Proportional to 6,524.47, 9,005.37 and 4,007.18

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Solution

The fourth proportional to 6,524.47, 9,005.37 and 4,007.18 is: 5,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.47 : 9,005.37 = 4,007.18 : x
  2. Step 2: Convert to fraction form
    6,524.47/9,005.37 = 4,007.18/x
  3. Step 3: Cross multiply
    6,524.47x = 9,005.37 × 4,007.18
  4. Step 4: Simplify right side
    6,524.47x = 36,086,138.56
  5. Step 5: Solve for x
    x = 36,086,138.56/6,524.47
  6. Step 6: Final answer
    x = 5,530.89

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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.