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Finding the Fourth Proportional to 9,288.69, 12,815.26 and 5,306.99

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Solution

The fourth proportional to 9,288.69, 12,815.26 and 5,306.99 is: 7,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.69 : 12,815.26 = 5,306.99 : x
  2. Step 2: Convert to fraction form
    9,288.69/12,815.26 = 5,306.99/x
  3. Step 3: Cross multiply
    9,288.69x = 12,815.26 × 5,306.99
  4. Step 4: Simplify right side
    9,288.69x = 68,010,379.32
  5. Step 5: Solve for x
    x = 68,010,379.32/9,288.69
  6. Step 6: Final answer
    x = 7,321.85

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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.