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Finding the Fourth Proportional to 9,782.72, 13,500.05 and 5,306.44

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Solution

The fourth proportional to 9,782.72, 13,500.05 and 5,306.44 is: 7,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.72 : 13,500.05 = 5,306.44 : x
  2. Step 2: Convert to fraction form
    9,782.72/13,500.05 = 5,306.44/x
  3. Step 3: Cross multiply
    9,782.72x = 13,500.05 × 5,306.44
  4. Step 4: Simplify right side
    9,782.72x = 71,637,184.62
  5. Step 5: Solve for x
    x = 71,637,184.62/9,782.72
  6. Step 6: Final answer
    x = 7,322.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.