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Finding the Fourth Proportional to 9,695.89, 13,380.35 and 5,504.14

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Solution

The fourth proportional to 9,695.89, 13,380.35 and 5,504.14 is: 7,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.89 : 13,380.35 = 5,504.14 : x
  2. Step 2: Convert to fraction form
    9,695.89/13,380.35 = 5,504.14/x
  3. Step 3: Cross multiply
    9,695.89x = 13,380.35 × 5,504.14
  4. Step 4: Simplify right side
    9,695.89x = 73,647,319.65
  5. Step 5: Solve for x
    x = 73,647,319.65/9,695.89
  6. Step 6: Final answer
    x = 7,595.73

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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.