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Finding the Fourth Proportional to 9,132.98, 13,698.80 and 4,438.49

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Solution

The fourth proportional to 9,132.98, 13,698.80 and 4,438.49 is: 6,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.98 : 13,698.80 = 4,438.49 : x
  2. Step 2: Convert to fraction form
    9,132.98/13,698.80 = 4,438.49/x
  3. Step 3: Cross multiply
    9,132.98x = 13,698.80 × 4,438.49
  4. Step 4: Simplify right side
    9,132.98x = 60,801,964.62
  5. Step 5: Solve for x
    x = 60,801,964.62/9,132.98
  6. Step 6: Final answer
    x = 6,657.41

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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.