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Finding the Fourth Proportional to 9,698.91, 13,384.14 and 5,928.39

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Solution

The fourth proportional to 9,698.91, 13,384.14 and 5,928.39 is: 8,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.91 : 13,384.14 = 5,928.39 : x
  2. Step 2: Convert to fraction form
    9,698.91/13,384.14 = 5,928.39/x
  3. Step 3: Cross multiply
    9,698.91x = 13,384.14 × 5,928.39
  4. Step 4: Simplify right side
    9,698.91x = 79,346,401.73
  5. Step 5: Solve for x
    x = 79,346,401.73/9,698.91
  6. Step 6: Final answer
    x = 8,180.96

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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.