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Finding the Fourth Proportional to 9,648.98, 14,473.44 and 6,338.12

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Solution

The fourth proportional to 9,648.98, 14,473.44 and 6,338.12 is: 9,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.98 : 14,473.44 = 6,338.12 : x
  2. Step 2: Convert to fraction form
    9,648.98/14,473.44 = 6,338.12/x
  3. Step 3: Cross multiply
    9,648.98x = 14,473.44 × 6,338.12
  4. Step 4: Simplify right side
    9,648.98x = 91,734,367.84
  5. Step 5: Solve for x
    x = 91,734,367.84/9,648.98
  6. Step 6: Final answer
    x = 9,507.16

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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.