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Finding the Fourth Proportional to 9,337.74, 13,992 and 7,945.35

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Solution

The fourth proportional to 9,337.74, 13,992 and 7,945.35 is: 11,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.74 : 13,992 = 7,945.35 : x
  2. Step 2: Convert to fraction form
    9,337.74/13,992 = 7,945.35/x
  3. Step 3: Cross multiply
    9,337.74x = 13,992 × 7,945.35
  4. Step 4: Simplify right side
    9,337.74x = 111,171,337.20
  5. Step 5: Solve for x
    x = 111,171,337.20/9,337.74
  6. Step 6: Final answer
    x = 11,905.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.