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Finding the Fourth Proportional to 9,572.82, 14,343 and 5,867.31

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Solution

The fourth proportional to 9,572.82, 14,343 and 5,867.31 is: 8,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.82 : 14,343 = 5,867.31 : x
  2. Step 2: Convert to fraction form
    9,572.82/14,343 = 5,867.31/x
  3. Step 3: Cross multiply
    9,572.82x = 14,343 × 5,867.31
  4. Step 4: Simplify right side
    9,572.82x = 84,154,827.33
  5. Step 5: Solve for x
    x = 84,154,827.33/9,572.82
  6. Step 6: Final answer
    x = 8,791.02

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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.