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Finding the Fourth Proportional to 9,410.38, 14,117.94 and 6,642.46

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Solution

The fourth proportional to 9,410.38, 14,117.94 and 6,642.46 is: 9,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.38 : 14,117.94 = 6,642.46 : x
  2. Step 2: Convert to fraction form
    9,410.38/14,117.94 = 6,642.46/x
  3. Step 3: Cross multiply
    9,410.38x = 14,117.94 × 6,642.46
  4. Step 4: Simplify right side
    9,410.38x = 93,777,816.44
  5. Step 5: Solve for x
    x = 93,777,816.44/9,410.38
  6. Step 6: Final answer
    x = 9,965.36

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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.