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Finding the Fourth Proportional to 9,938.22, 13,709.03 and 6,205.74

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Solution

The fourth proportional to 9,938.22, 13,709.03 and 6,205.74 is: 8,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.22 : 13,709.03 = 6,205.74 : x
  2. Step 2: Convert to fraction form
    9,938.22/13,709.03 = 6,205.74/x
  3. Step 3: Cross multiply
    9,938.22x = 13,709.03 × 6,205.74
  4. Step 4: Simplify right side
    9,938.22x = 85,074,593.39
  5. Step 5: Solve for x
    x = 85,074,593.39/9,938.22
  6. Step 6: Final answer
    x = 8,560.35

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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.