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Finding the Fourth Proportional to 6,537.06, 9,797.64 and 3,765.66

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Solution

The fourth proportional to 6,537.06, 9,797.64 and 3,765.66 is: 5,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.06 : 9,797.64 = 3,765.66 : x
  2. Step 2: Convert to fraction form
    6,537.06/9,797.64 = 3,765.66/x
  3. Step 3: Cross multiply
    6,537.06x = 9,797.64 × 3,765.66
  4. Step 4: Simplify right side
    6,537.06x = 36,894,581.04
  5. Step 5: Solve for x
    x = 36,894,581.04/6,537.06
  6. Step 6: Final answer
    x = 5,643.91

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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.