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Finding the Fourth Proportional to 6,901.74, 9,524.46 and 4,068.57

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Solution

The fourth proportional to 6,901.74, 9,524.46 and 4,068.57 is: 5,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.74 : 9,524.46 = 4,068.57 : x
  2. Step 2: Convert to fraction form
    6,901.74/9,524.46 = 4,068.57/x
  3. Step 3: Cross multiply
    6,901.74x = 9,524.46 × 4,068.57
  4. Step 4: Simplify right side
    6,901.74x = 38,750,932.22
  5. Step 5: Solve for x
    x = 38,750,932.22/6,901.74
  6. Step 6: Final answer
    x = 5,614.66

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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.