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Finding the Fourth Proportional to 9,856.91, 13,579.43 and 6,867.33

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Solution

The fourth proportional to 9,856.91, 13,579.43 and 6,867.33 is: 9,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.91 : 13,579.43 = 6,867.33 : x
  2. Step 2: Convert to fraction form
    9,856.91/13,579.43 = 6,867.33/x
  3. Step 3: Cross multiply
    9,856.91x = 13,579.43 × 6,867.33
  4. Step 4: Simplify right side
    9,856.91x = 93,254,392.69
  5. Step 5: Solve for x
    x = 93,254,392.69/9,856.91
  6. Step 6: Final answer
    x = 9,460.82

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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.