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Finding the Fourth Proportional to 9,878.40, 13,632.12 and 6,342.96

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Solution

The fourth proportional to 9,878.40, 13,632.12 and 6,342.96 is: 8,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 13,632.12 = 6,342.96 : x
  2. Step 2: Convert to fraction form
    9,878.40/13,632.12 = 6,342.96/x
  3. Step 3: Cross multiply
    9,878.40x = 13,632.12 × 6,342.96
  4. Step 4: Simplify right side
    9,878.40x = 86,467,991.88
  5. Step 5: Solve for x
    x = 86,467,991.88/9,878.40
  6. Step 6: Final answer
    x = 8,753.24

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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.