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Finding the Fourth Proportional to 9,400.26, 12,972.78 and 5,208.24

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Solution

The fourth proportional to 9,400.26, 12,972.78 and 5,208.24 is: 7,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.26 : 12,972.78 = 5,208.24 : x
  2. Step 2: Convert to fraction form
    9,400.26/12,972.78 = 5,208.24/x
  3. Step 3: Cross multiply
    9,400.26x = 12,972.78 × 5,208.24
  4. Step 4: Simplify right side
    9,400.26x = 67,565,351.71
  5. Step 5: Solve for x
    x = 67,565,351.71/9,400.26
  6. Step 6: Final answer
    x = 7,187.60

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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.