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Finding the Fourth Proportional to 6,425.73, 8,865 and 4,034.69

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Solution

The fourth proportional to 6,425.73, 8,865 and 4,034.69 is: 5,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.73 : 8,865 = 4,034.69 : x
  2. Step 2: Convert to fraction form
    6,425.73/8,865 = 4,034.69/x
  3. Step 3: Cross multiply
    6,425.73x = 8,865 × 4,034.69
  4. Step 4: Simplify right side
    6,425.73x = 35,767,482.53
  5. Step 5: Solve for x
    x = 35,767,482.53/6,425.73
  6. Step 6: Final answer
    x = 5,566.29

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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.