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Finding the Fourth Proportional to 9,723.38, 14,587.22 and 3,567.38

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Solution

The fourth proportional to 9,723.38, 14,587.22 and 3,567.38 is: 5,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.38 : 14,587.22 = 3,567.38 : x
  2. Step 2: Convert to fraction form
    9,723.38/14,587.22 = 3,567.38/x
  3. Step 3: Cross multiply
    9,723.38x = 14,587.22 × 3,567.38
  4. Step 4: Simplify right side
    9,723.38x = 52,038,092.87
  5. Step 5: Solve for x
    x = 52,038,092.87/9,723.38
  6. Step 6: Final answer
    x = 5,351.85

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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.