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Finding the Fourth Proportional to 9,856.67, 13,593.33 and 6,319.19

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Solution

The fourth proportional to 9,856.67, 13,593.33 and 6,319.19 is: 8,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.67 : 13,593.33 = 6,319.19 : x
  2. Step 2: Convert to fraction form
    9,856.67/13,593.33 = 6,319.19/x
  3. Step 3: Cross multiply
    9,856.67x = 13,593.33 × 6,319.19
  4. Step 4: Simplify right side
    9,856.67x = 85,898,803.41
  5. Step 5: Solve for x
    x = 85,898,803.41/9,856.67
  6. Step 6: Final answer
    x = 8,714.79

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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.