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Finding the Fourth Proportional to 9,822.70, 13,559.16 and 6,287.86

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Solution

The fourth proportional to 9,822.70, 13,559.16 and 6,287.86 is: 8,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.70 : 13,559.16 = 6,287.86 : x
  2. Step 2: Convert to fraction form
    9,822.70/13,559.16 = 6,287.86/x
  3. Step 3: Cross multiply
    9,822.70x = 13,559.16 × 6,287.86
  4. Step 4: Simplify right side
    9,822.70x = 85,258,099.80
  5. Step 5: Solve for x
    x = 85,258,099.80/9,822.70
  6. Step 6: Final answer
    x = 8,679.70

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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.