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Finding the Fourth Proportional to 9,596.26, 14,398.71 and 5,207.14

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Solution

The fourth proportional to 9,596.26, 14,398.71 and 5,207.14 is: 7,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.26 : 14,398.71 = 5,207.14 : x
  2. Step 2: Convert to fraction form
    9,596.26/14,398.71 = 5,207.14/x
  3. Step 3: Cross multiply
    9,596.26x = 14,398.71 × 5,207.14
  4. Step 4: Simplify right side
    9,596.26x = 74,976,098.79
  5. Step 5: Solve for x
    x = 74,976,098.79/9,596.26
  6. Step 6: Final answer
    x = 7,813.05

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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.