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Finding the Fourth Proportional to 9,826.92, 13,558.86 and 6,288.84

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Solution

The fourth proportional to 9,826.92, 13,558.86 and 6,288.84 is: 8,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.92 : 13,558.86 = 6,288.84 : x
  2. Step 2: Convert to fraction form
    9,826.92/13,558.86 = 6,288.84/x
  3. Step 3: Cross multiply
    9,826.92x = 13,558.86 × 6,288.84
  4. Step 4: Simplify right side
    9,826.92x = 85,269,501.12
  5. Step 5: Solve for x
    x = 85,269,501.12/9,826.92
  6. Step 6: Final answer
    x = 8,677.13

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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.