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Finding the Fourth Proportional to 6,503.55, 9,752.87 and 2,805.49

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Solution

The fourth proportional to 6,503.55, 9,752.87 and 2,805.49 is: 4,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.55 : 9,752.87 = 2,805.49 : x
  2. Step 2: Convert to fraction form
    6,503.55/9,752.87 = 2,805.49/x
  3. Step 3: Cross multiply
    6,503.55x = 9,752.87 × 2,805.49
  4. Step 4: Simplify right side
    6,503.55x = 27,361,565.23
  5. Step 5: Solve for x
    x = 27,361,565.23/6,503.55
  6. Step 6: Final answer
    x = 4,207.18

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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.