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Finding the Fourth Proportional to 9,523.85, 14,302.08 and 5,847.66

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Solution

The fourth proportional to 9,523.85, 14,302.08 and 5,847.66 is: 8,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.85 : 14,302.08 = 5,847.66 : x
  2. Step 2: Convert to fraction form
    9,523.85/14,302.08 = 5,847.66/x
  3. Step 3: Cross multiply
    9,523.85x = 14,302.08 × 5,847.66
  4. Step 4: Simplify right side
    9,523.85x = 83,633,701.13
  5. Step 5: Solve for x
    x = 83,633,701.13/9,523.85
  6. Step 6: Final answer
    x = 8,781.51

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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.