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Finding the Fourth Proportional to 6,385.76, 9,570.52 and 2,872.01

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Solution

The fourth proportional to 6,385.76, 9,570.52 and 2,872.01 is: 4,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.76 : 9,570.52 = 2,872.01 : x
  2. Step 2: Convert to fraction form
    6,385.76/9,570.52 = 2,872.01/x
  3. Step 3: Cross multiply
    6,385.76x = 9,570.52 × 2,872.01
  4. Step 4: Simplify right side
    6,385.76x = 27,486,629.15
  5. Step 5: Solve for x
    x = 27,486,629.15/6,385.76
  6. Step 6: Final answer
    x = 4,304.36

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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.