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Finding the Fourth Proportional to 9,348.31, 12,896.70 and 5,990.05

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Solution

The fourth proportional to 9,348.31, 12,896.70 and 5,990.05 is: 8,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.31 : 12,896.70 = 5,990.05 : x
  2. Step 2: Convert to fraction form
    9,348.31/12,896.70 = 5,990.05/x
  3. Step 3: Cross multiply
    9,348.31x = 12,896.70 × 5,990.05
  4. Step 4: Simplify right side
    9,348.31x = 77,251,813.35
  5. Step 5: Solve for x
    x = 77,251,813.35/9,348.31
  6. Step 6: Final answer
    x = 8,263.72

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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.