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Finding the Fourth Proportional to 6,482.34, 8,944.26 and 4,123.62

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Solution

The fourth proportional to 6,482.34, 8,944.26 and 4,123.62 is: 5,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.34 : 8,944.26 = 4,123.62 : x
  2. Step 2: Convert to fraction form
    6,482.34/8,944.26 = 4,123.62/x
  3. Step 3: Cross multiply
    6,482.34x = 8,944.26 × 4,123.62
  4. Step 4: Simplify right side
    6,482.34x = 36,882,729.42
  5. Step 5: Solve for x
    x = 36,882,729.42/6,482.34
  6. Step 6: Final answer
    x = 5,689.72

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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.