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Finding the Fourth Proportional to 6,368.32, 9,542.22 and 3,448

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Solution

The fourth proportional to 6,368.32, 9,542.22 and 3,448 is: 5,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.32 : 9,542.22 = 3,448 : x
  2. Step 2: Convert to fraction form
    6,368.32/9,542.22 = 3,448/x
  3. Step 3: Cross multiply
    6,368.32x = 9,542.22 × 3,448
  4. Step 4: Simplify right side
    6,368.32x = 32,901,574.56
  5. Step 5: Solve for x
    x = 32,901,574.56/6,368.32
  6. Step 6: Final answer
    x = 5,166.44

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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.