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Finding the Fourth Proportional to 9,641.16, 14,462.24 and 2,716.20

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Solution

The fourth proportional to 9,641.16, 14,462.24 and 2,716.20 is: 4,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.16 : 14,462.24 = 2,716.20 : x
  2. Step 2: Convert to fraction form
    9,641.16/14,462.24 = 2,716.20/x
  3. Step 3: Cross multiply
    9,641.16x = 14,462.24 × 2,716.20
  4. Step 4: Simplify right side
    9,641.16x = 39,282,336.29
  5. Step 5: Solve for x
    x = 39,282,336.29/9,641.16
  6. Step 6: Final answer
    x = 4,074.44

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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.