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Finding the Fourth Proportional to 9,022, 12,451.56 and 5,296

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Solution

The fourth proportional to 9,022, 12,451.56 and 5,296 is: 7,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022 : 12,451.56 = 5,296 : x
  2. Step 2: Convert to fraction form
    9,022/12,451.56 = 5,296/x
  3. Step 3: Cross multiply
    9,022x = 12,451.56 × 5,296
  4. Step 4: Simplify right side
    9,022x = 65,943,461.76
  5. Step 5: Solve for x
    x = 65,943,461.76/9,022
  6. Step 6: Final answer
    x = 7,309.18

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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.