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Finding the Fourth Proportional to 9,832.44, 13,582.08 and 7,856.85

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Solution

The fourth proportional to 9,832.44, 13,582.08 and 7,856.85 is: 10,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.44 : 13,582.08 = 7,856.85 : x
  2. Step 2: Convert to fraction form
    9,832.44/13,582.08 = 7,856.85/x
  3. Step 3: Cross multiply
    9,832.44x = 13,582.08 × 7,856.85
  4. Step 4: Simplify right side
    9,832.44x = 106,712,365.25
  5. Step 5: Solve for x
    x = 106,712,365.25/9,832.44
  6. Step 6: Final answer
    x = 10,853.09

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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.