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Finding the Fourth Proportional to 9,805.42, 13,542.59 and 6,463.08

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Solution

The fourth proportional to 9,805.42, 13,542.59 and 6,463.08 is: 8,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.42 : 13,542.59 = 6,463.08 : x
  2. Step 2: Convert to fraction form
    9,805.42/13,542.59 = 6,463.08/x
  3. Step 3: Cross multiply
    9,805.42x = 13,542.59 × 6,463.08
  4. Step 4: Simplify right side
    9,805.42x = 87,526,842.58
  5. Step 5: Solve for x
    x = 87,526,842.58/9,805.42
  6. Step 6: Final answer
    x = 8,926.37

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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.