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Finding the Fourth Proportional to 6,502.04, 9,754.50 and 3,578.84

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Solution

The fourth proportional to 6,502.04, 9,754.50 and 3,578.84 is: 5,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.04 : 9,754.50 = 3,578.84 : x
  2. Step 2: Convert to fraction form
    6,502.04/9,754.50 = 3,578.84/x
  3. Step 3: Cross multiply
    6,502.04x = 9,754.50 × 3,578.84
  4. Step 4: Simplify right side
    6,502.04x = 34,909,794.78
  5. Step 5: Solve for x
    x = 34,909,794.78/6,502.04
  6. Step 6: Final answer
    x = 5,369.05

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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.