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Finding the Fourth Proportional to 9,938.34, 13,711.90 and 5,958

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Solution

The fourth proportional to 9,938.34, 13,711.90 and 5,958 is: 8,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.34 : 13,711.90 = 5,958 : x
  2. Step 2: Convert to fraction form
    9,938.34/13,711.90 = 5,958/x
  3. Step 3: Cross multiply
    9,938.34x = 13,711.90 × 5,958
  4. Step 4: Simplify right side
    9,938.34x = 81,695,500.20
  5. Step 5: Solve for x
    x = 81,695,500.20/9,938.34
  6. Step 6: Final answer
    x = 8,220.24

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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.