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Finding the Fourth Proportional to 9,357.80, 12,902.09 and 5,995.08

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Solution

The fourth proportional to 9,357.80, 12,902.09 and 5,995.08 is: 8,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.80 : 12,902.09 = 5,995.08 : x
  2. Step 2: Convert to fraction form
    9,357.80/12,902.09 = 5,995.08/x
  3. Step 3: Cross multiply
    9,357.80x = 12,902.09 × 5,995.08
  4. Step 4: Simplify right side
    9,357.80x = 77,349,031.74
  5. Step 5: Solve for x
    x = 77,349,031.74/9,357.80
  6. Step 6: Final answer
    x = 8,265.73

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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.