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Finding the Fourth Proportional to 9,550.68, 14,330.31 and 5,163

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Solution

The fourth proportional to 9,550.68, 14,330.31 and 5,163 is: 7,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.68 : 14,330.31 = 5,163 : x
  2. Step 2: Convert to fraction form
    9,550.68/14,330.31 = 5,163/x
  3. Step 3: Cross multiply
    9,550.68x = 14,330.31 × 5,163
  4. Step 4: Simplify right side
    9,550.68x = 73,987,390.53
  5. Step 5: Solve for x
    x = 73,987,390.53/9,550.68
  6. Step 6: Final answer
    x = 7,746.82

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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.