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Finding the Fourth Proportional to 9,782.91, 13,500.27 and 5,306.67

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Solution

The fourth proportional to 9,782.91, 13,500.27 and 5,306.67 is: 7,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.91 : 13,500.27 = 5,306.67 : x
  2. Step 2: Convert to fraction form
    9,782.91/13,500.27 = 5,306.67/x
  3. Step 3: Cross multiply
    9,782.91x = 13,500.27 × 5,306.67
  4. Step 4: Simplify right side
    9,782.91x = 71,641,477.80
  5. Step 5: Solve for x
    x = 71,641,477.80/9,782.91
  6. Step 6: Final answer
    x = 7,323.13

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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.