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Finding the Fourth Proportional to 9,146.17, 13,719.84 and 3,952

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Solution

The fourth proportional to 9,146.17, 13,719.84 and 3,952 is: 5,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.17 : 13,719.84 = 3,952 : x
  2. Step 2: Convert to fraction form
    9,146.17/13,719.84 = 3,952/x
  3. Step 3: Cross multiply
    9,146.17x = 13,719.84 × 3,952
  4. Step 4: Simplify right side
    9,146.17x = 54,220,807.68
  5. Step 5: Solve for x
    x = 54,220,807.68/9,146.17
  6. Step 6: Final answer
    x = 5,928.25

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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.