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Finding the Fourth Proportional to 9,930.32, 13,705 and 5,738.48

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Solution

The fourth proportional to 9,930.32, 13,705 and 5,738.48 is: 7,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.32 : 13,705 = 5,738.48 : x
  2. Step 2: Convert to fraction form
    9,930.32/13,705 = 5,738.48/x
  3. Step 3: Cross multiply
    9,930.32x = 13,705 × 5,738.48
  4. Step 4: Simplify right side
    9,930.32x = 78,645,868.40
  5. Step 5: Solve for x
    x = 78,645,868.40/9,930.32
  6. Step 6: Final answer
    x = 7,919.77

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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.