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Finding the Fourth Proportional to 6,643.82, 9,158.45 and 5,462.84

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Solution

The fourth proportional to 6,643.82, 9,158.45 and 5,462.84 is: 7,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.82 : 9,158.45 = 5,462.84 : x
  2. Step 2: Convert to fraction form
    6,643.82/9,158.45 = 5,462.84/x
  3. Step 3: Cross multiply
    6,643.82x = 9,158.45 × 5,462.84
  4. Step 4: Simplify right side
    6,643.82x = 50,031,147.00
  5. Step 5: Solve for x
    x = 50,031,147.00/6,643.82
  6. Step 6: Final answer
    x = 7,530.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.