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Finding the Fourth Proportional to 9,695.05, 13,378.81 and 5,924.52

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Solution

The fourth proportional to 9,695.05, 13,378.81 and 5,924.52 is: 8,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.05 : 13,378.81 = 5,924.52 : x
  2. Step 2: Convert to fraction form
    9,695.05/13,378.81 = 5,924.52/x
  3. Step 3: Cross multiply
    9,695.05x = 13,378.81 × 5,924.52
  4. Step 4: Simplify right side
    9,695.05x = 79,263,078.01
  5. Step 5: Solve for x
    x = 79,263,078.01/9,695.05
  6. Step 6: Final answer
    x = 8,175.63

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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.