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Finding the Fourth Proportional to 9,356.25, 14,023.44 and 5,194.27

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Solution

The fourth proportional to 9,356.25, 14,023.44 and 5,194.27 is: 7,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.25 : 14,023.44 = 5,194.27 : x
  2. Step 2: Convert to fraction form
    9,356.25/14,023.44 = 5,194.27/x
  3. Step 3: Cross multiply
    9,356.25x = 14,023.44 × 5,194.27
  4. Step 4: Simplify right side
    9,356.25x = 72,841,498.63
  5. Step 5: Solve for x
    x = 72,841,498.63/9,356.25
  6. Step 6: Final answer
    x = 7,785.33

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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.