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Finding the Fourth Proportional to 6,947.74, 9,587.86 and 3,803.93

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Solution

The fourth proportional to 6,947.74, 9,587.86 and 3,803.93 is: 5,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.74 : 9,587.86 = 3,803.93 : x
  2. Step 2: Convert to fraction form
    6,947.74/9,587.86 = 3,803.93/x
  3. Step 3: Cross multiply
    6,947.74x = 9,587.86 × 3,803.93
  4. Step 4: Simplify right side
    6,947.74x = 36,471,548.29
  5. Step 5: Solve for x
    x = 36,471,548.29/6,947.74
  6. Step 6: Final answer
    x = 5,249.41

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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.