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Finding the Fourth Proportional to 9,348.75, 12,902.67 and 5,995.35

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Solution

The fourth proportional to 9,348.75, 12,902.67 and 5,995.35 is: 8,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.75 : 12,902.67 = 5,995.35 : x
  2. Step 2: Convert to fraction form
    9,348.75/12,902.67 = 5,995.35/x
  3. Step 3: Cross multiply
    9,348.75x = 12,902.67 × 5,995.35
  4. Step 4: Simplify right side
    9,348.75x = 77,356,022.58
  5. Step 5: Solve for x
    x = 77,356,022.58/9,348.75
  6. Step 6: Final answer
    x = 8,274.48

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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.