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Finding the Fourth Proportional to 9,211.80, 13,824.72 and 6,752.91

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Solution

The fourth proportional to 9,211.80, 13,824.72 and 6,752.91 is: 10,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.80 : 13,824.72 = 6,752.91 : x
  2. Step 2: Convert to fraction form
    9,211.80/13,824.72 = 6,752.91/x
  3. Step 3: Cross multiply
    9,211.80x = 13,824.72 × 6,752.91
  4. Step 4: Simplify right side
    9,211.80x = 93,357,089.94
  5. Step 5: Solve for x
    x = 93,357,089.94/9,211.80
  6. Step 6: Final answer
    x = 10,134.51

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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.