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Finding the Fourth Proportional to 9,314.14, 13,952.46 and 4,309.46

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Solution

The fourth proportional to 9,314.14, 13,952.46 and 4,309.46 is: 6,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.14 : 13,952.46 = 4,309.46 : x
  2. Step 2: Convert to fraction form
    9,314.14/13,952.46 = 4,309.46/x
  3. Step 3: Cross multiply
    9,314.14x = 13,952.46 × 4,309.46
  4. Step 4: Simplify right side
    9,314.14x = 60,127,568.27
  5. Step 5: Solve for x
    x = 60,127,568.27/9,314.14
  6. Step 6: Final answer
    x = 6,455.51

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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.