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Finding the Fourth Proportional to 9,191.24, 13,764.65 and 5,230.50

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Solution

The fourth proportional to 9,191.24, 13,764.65 and 5,230.50 is: 7,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.24 : 13,764.65 = 5,230.50 : x
  2. Step 2: Convert to fraction form
    9,191.24/13,764.65 = 5,230.50/x
  3. Step 3: Cross multiply
    9,191.24x = 13,764.65 × 5,230.50
  4. Step 4: Simplify right side
    9,191.24x = 71,996,001.83
  5. Step 5: Solve for x
    x = 71,996,001.83/9,191.24
  6. Step 6: Final answer
    x = 7,833.11

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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.