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Finding the Fourth Proportional to 9,585.36, 14,377.64 and 2,659.68

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Solution

The fourth proportional to 9,585.36, 14,377.64 and 2,659.68 is: 3,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.36 : 14,377.64 = 2,659.68 : x
  2. Step 2: Convert to fraction form
    9,585.36/14,377.64 = 2,659.68/x
  3. Step 3: Cross multiply
    9,585.36x = 14,377.64 × 2,659.68
  4. Step 4: Simplify right side
    9,585.36x = 38,239,921.56
  5. Step 5: Solve for x
    x = 38,239,921.56/9,585.36
  6. Step 6: Final answer
    x = 3,989.41

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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.