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Finding the Fourth Proportional to 9,641.12, 14,460.40 and 2,716.16

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Solution

The fourth proportional to 9,641.12, 14,460.40 and 2,716.16 is: 4,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.12 : 14,460.40 = 2,716.16 : x
  2. Step 2: Convert to fraction form
    9,641.12/14,460.40 = 2,716.16/x
  3. Step 3: Cross multiply
    9,641.12x = 14,460.40 × 2,716.16
  4. Step 4: Simplify right side
    9,641.12x = 39,276,760.06
  5. Step 5: Solve for x
    x = 39,276,760.06/9,641.12
  6. Step 6: Final answer
    x = 4,073.88

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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.