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Finding the Fourth Proportional to 9,288.65, 13,920.82 and 8,050.97

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Solution

The fourth proportional to 9,288.65, 13,920.82 and 8,050.97 is: 12,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.65 : 13,920.82 = 8,050.97 : x
  2. Step 2: Convert to fraction form
    9,288.65/13,920.82 = 8,050.97/x
  3. Step 3: Cross multiply
    9,288.65x = 13,920.82 × 8,050.97
  4. Step 4: Simplify right side
    9,288.65x = 112,076,014.46
  5. Step 5: Solve for x
    x = 112,076,014.46/9,288.65
  6. Step 6: Final answer
    x = 12,065.92

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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.