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Finding the Fourth Proportional to 6,565.34, 9,839.52 and 2,665.22

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Solution

The fourth proportional to 6,565.34, 9,839.52 and 2,665.22 is: 3,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.34 : 9,839.52 = 2,665.22 : x
  2. Step 2: Convert to fraction form
    6,565.34/9,839.52 = 2,665.22/x
  3. Step 3: Cross multiply
    6,565.34x = 9,839.52 × 2,665.22
  4. Step 4: Simplify right side
    6,565.34x = 26,224,485.49
  5. Step 5: Solve for x
    x = 26,224,485.49/6,565.34
  6. Step 6: Final answer
    x = 3,994.38

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