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Finding the Fourth Proportional to 6,944.46, 9,591.53 and 4,702.43

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Solution

The fourth proportional to 6,944.46, 9,591.53 and 4,702.43 is: 6,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.46 : 9,591.53 = 4,702.43 : x
  2. Step 2: Convert to fraction form
    6,944.46/9,591.53 = 4,702.43/x
  3. Step 3: Cross multiply
    6,944.46x = 9,591.53 × 4,702.43
  4. Step 4: Simplify right side
    6,944.46x = 45,103,498.42
  5. Step 5: Solve for x
    x = 45,103,498.42/6,944.46
  6. Step 6: Final answer
    x = 6,494.89

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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.