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Finding the Fourth Proportional to 9,878.48, 13,633.48 and 5,687.54

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Solution

The fourth proportional to 9,878.48, 13,633.48 and 5,687.54 is: 7,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.48 : 13,633.48 = 5,687.54 : x
  2. Step 2: Convert to fraction form
    9,878.48/13,633.48 = 5,687.54/x
  3. Step 3: Cross multiply
    9,878.48x = 13,633.48 × 5,687.54
  4. Step 4: Simplify right side
    9,878.48x = 77,540,962.84
  5. Step 5: Solve for x
    x = 77,540,962.84/9,878.48
  6. Step 6: Final answer
    x = 7,849.48

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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.