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Finding the Fourth Proportional to 9,356.22, 12,911.50 and 5,107.24

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Solution

The fourth proportional to 9,356.22, 12,911.50 and 5,107.24 is: 7,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.22 : 12,911.50 = 5,107.24 : x
  2. Step 2: Convert to fraction form
    9,356.22/12,911.50 = 5,107.24/x
  3. Step 3: Cross multiply
    9,356.22x = 12,911.50 × 5,107.24
  4. Step 4: Simplify right side
    9,356.22x = 65,942,129.26
  5. Step 5: Solve for x
    x = 65,942,129.26/9,356.22
  6. Step 6: Final answer
    x = 7,047.95

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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.