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Finding the Fourth Proportional to 9,508.29, 14,268.65 and 4,314.21

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Solution

The fourth proportional to 9,508.29, 14,268.65 and 4,314.21 is: 6,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.29 : 14,268.65 = 4,314.21 : x
  2. Step 2: Convert to fraction form
    9,508.29/14,268.65 = 4,314.21/x
  3. Step 3: Cross multiply
    9,508.29x = 14,268.65 × 4,314.21
  4. Step 4: Simplify right side
    9,508.29x = 61,557,930.95
  5. Step 5: Solve for x
    x = 61,557,930.95/9,508.29
  6. Step 6: Final answer
    x = 6,474.13

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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.