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Finding the Fourth Proportional to 6,462.66, 9,681.22 and 5,069.05

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Solution

The fourth proportional to 6,462.66, 9,681.22 and 5,069.05 is: 7,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.66 : 9,681.22 = 5,069.05 : x
  2. Step 2: Convert to fraction form
    6,462.66/9,681.22 = 5,069.05/x
  3. Step 3: Cross multiply
    6,462.66x = 9,681.22 × 5,069.05
  4. Step 4: Simplify right side
    6,462.66x = 49,074,588.24
  5. Step 5: Solve for x
    x = 49,074,588.24/6,462.66
  6. Step 6: Final answer
    x = 7,593.56

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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.