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Finding the Fourth Proportional to 9,858.04, 13,600.61 and 6,323.20

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Solution

The fourth proportional to 9,858.04, 13,600.61 and 6,323.20 is: 8,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.04 : 13,600.61 = 6,323.20 : x
  2. Step 2: Convert to fraction form
    9,858.04/13,600.61 = 6,323.20/x
  3. Step 3: Cross multiply
    9,858.04x = 13,600.61 × 6,323.20
  4. Step 4: Simplify right side
    9,858.04x = 85,999,335.25
  5. Step 5: Solve for x
    x = 85,999,335.25/9,858.04
  6. Step 6: Final answer
    x = 8,723.78

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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.