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Finding the Fourth Proportional to 6,643.42, 9,101.53 and 6,394.30

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Solution

The fourth proportional to 6,643.42, 9,101.53 and 6,394.30 is: 8,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.42 : 9,101.53 = 6,394.30 : x
  2. Step 2: Convert to fraction form
    6,643.42/9,101.53 = 6,394.30/x
  3. Step 3: Cross multiply
    6,643.42x = 9,101.53 × 6,394.30
  4. Step 4: Simplify right side
    6,643.42x = 58,197,913.28
  5. Step 5: Solve for x
    x = 58,197,913.28/6,643.42
  6. Step 6: Final answer
    x = 8,760.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.