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Finding the Fourth Proportional to 6,441.14, 9,653.13 and 4,217.15

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Solution

The fourth proportional to 6,441.14, 9,653.13 and 4,217.15 is: 6,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.14 : 9,653.13 = 4,217.15 : x
  2. Step 2: Convert to fraction form
    6,441.14/9,653.13 = 4,217.15/x
  3. Step 3: Cross multiply
    6,441.14x = 9,653.13 × 4,217.15
  4. Step 4: Simplify right side
    6,441.14x = 40,708,648.91
  5. Step 5: Solve for x
    x = 40,708,648.91/6,441.14
  6. Step 6: Final answer
    x = 6,320.10

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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.