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Finding the Fourth Proportional to 9,695.32, 13,380.66 and 5,504.36

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Solution

The fourth proportional to 9,695.32, 13,380.66 and 5,504.36 is: 7,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.32 : 13,380.66 = 5,504.36 : x
  2. Step 2: Convert to fraction form
    9,695.32/13,380.66 = 5,504.36/x
  3. Step 3: Cross multiply
    9,695.32x = 13,380.66 × 5,504.36
  4. Step 4: Simplify right side
    9,695.32x = 73,651,969.68
  5. Step 5: Solve for x
    x = 73,651,969.68/9,695.32
  6. Step 6: Final answer
    x = 7,596.65

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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.