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Finding the Fourth Proportional to 9,894.56, 13,660.84 and 8,830.48

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Solution

The fourth proportional to 9,894.56, 13,660.84 and 8,830.48 is: 12,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.56 : 13,660.84 = 8,830.48 : x
  2. Step 2: Convert to fraction form
    9,894.56/13,660.84 = 8,830.48/x
  3. Step 3: Cross multiply
    9,894.56x = 13,660.84 × 8,830.48
  4. Step 4: Simplify right side
    9,894.56x = 120,631,774.40
  5. Step 5: Solve for x
    x = 120,631,774.40/9,894.56
  6. Step 6: Final answer
    x = 12,191.73

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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.