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Finding the Fourth Proportional to 6,411.43, 9,595.27 and 3,947.95

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Solution

The fourth proportional to 6,411.43, 9,595.27 and 3,947.95 is: 5,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.43 : 9,595.27 = 3,947.95 : x
  2. Step 2: Convert to fraction form
    6,411.43/9,595.27 = 3,947.95/x
  3. Step 3: Cross multiply
    6,411.43x = 9,595.27 × 3,947.95
  4. Step 4: Simplify right side
    6,411.43x = 37,881,646.20
  5. Step 5: Solve for x
    x = 37,881,646.20/6,411.43
  6. Step 6: Final answer
    x = 5,908.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.