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Finding the Fourth Proportional to 6,301.62, 9,455 and 4,448.74

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Solution

The fourth proportional to 6,301.62, 9,455 and 4,448.74 is: 6,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.62 : 9,455 = 4,448.74 : x
  2. Step 2: Convert to fraction form
    6,301.62/9,455 = 4,448.74/x
  3. Step 3: Cross multiply
    6,301.62x = 9,455 × 4,448.74
  4. Step 4: Simplify right side
    6,301.62x = 42,062,836.70
  5. Step 5: Solve for x
    x = 42,062,836.70/6,301.62
  6. Step 6: Final answer
    x = 6,674.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.