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Finding the Fourth Proportional to 9,698.76, 13,385.43 and 5,449.83

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Solution

The fourth proportional to 9,698.76, 13,385.43 and 5,449.83 is: 7,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.76 : 13,385.43 = 5,449.83 : x
  2. Step 2: Convert to fraction form
    9,698.76/13,385.43 = 5,449.83/x
  3. Step 3: Cross multiply
    9,698.76x = 13,385.43 × 5,449.83
  4. Step 4: Simplify right side
    9,698.76x = 72,948,317.98
  5. Step 5: Solve for x
    x = 72,948,317.98/9,698.76
  6. Step 6: Final answer
    x = 7,521.41

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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.