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Finding the Fourth Proportional to 9,856.75, 13,604.60 and 6,500.17

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Solution

The fourth proportional to 9,856.75, 13,604.60 and 6,500.17 is: 8,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.75 : 13,604.60 = 6,500.17 : x
  2. Step 2: Convert to fraction form
    9,856.75/13,604.60 = 6,500.17/x
  3. Step 3: Cross multiply
    9,856.75x = 13,604.60 × 6,500.17
  4. Step 4: Simplify right side
    9,856.75x = 88,432,212.78
  5. Step 5: Solve for x
    x = 88,432,212.78/9,856.75
  6. Step 6: Final answer
    x = 8,971.74

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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.