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Finding the Fourth Proportional to 9,285.65, 12,814.23 and 5,306.90

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Solution

The fourth proportional to 9,285.65, 12,814.23 and 5,306.90 is: 7,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.65 : 12,814.23 = 5,306.90 : x
  2. Step 2: Convert to fraction form
    9,285.65/12,814.23 = 5,306.90/x
  3. Step 3: Cross multiply
    9,285.65x = 12,814.23 × 5,306.90
  4. Step 4: Simplify right side
    9,285.65x = 68,003,793.02
  5. Step 5: Solve for x
    x = 68,003,793.02/9,285.65
  6. Step 6: Final answer
    x = 7,323.54

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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.