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Finding the Fourth Proportional to 6,565.72, 9,052.38 and 4,203.88

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Solution

The fourth proportional to 6,565.72, 9,052.38 and 4,203.88 is: 5,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.72 : 9,052.38 = 4,203.88 : x
  2. Step 2: Convert to fraction form
    6,565.72/9,052.38 = 4,203.88/x
  3. Step 3: Cross multiply
    6,565.72x = 9,052.38 × 4,203.88
  4. Step 4: Simplify right side
    6,565.72x = 38,055,119.23
  5. Step 5: Solve for x
    x = 38,055,119.23/6,565.72
  6. Step 6: Final answer
    x = 5,796.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.