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Finding the Fourth Proportional to 9,292.30, 13,911.15 and 5,995.66

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Solution

The fourth proportional to 9,292.30, 13,911.15 and 5,995.66 is: 8,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.30 : 13,911.15 = 5,995.66 : x
  2. Step 2: Convert to fraction form
    9,292.30/13,911.15 = 5,995.66/x
  3. Step 3: Cross multiply
    9,292.30x = 13,911.15 × 5,995.66
  4. Step 4: Simplify right side
    9,292.30x = 83,406,525.61
  5. Step 5: Solve for x
    x = 83,406,525.61/9,292.30
  6. Step 6: Final answer
    x = 8,975.88

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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.