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Finding the Fourth Proportional to 9,937.32, 13,711.14 and 5,958.76

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Solution

The fourth proportional to 9,937.32, 13,711.14 and 5,958.76 is: 8,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.32 : 13,711.14 = 5,958.76 : x
  2. Step 2: Convert to fraction form
    9,937.32/13,711.14 = 5,958.76/x
  3. Step 3: Cross multiply
    9,937.32x = 13,711.14 × 5,958.76
  4. Step 4: Simplify right side
    9,937.32x = 81,701,392.59
  5. Step 5: Solve for x
    x = 81,701,392.59/9,937.32
  6. Step 6: Final answer
    x = 8,221.67

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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.