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Finding the Fourth Proportional to 7,139.22, 9,846.68 and 4,744.90

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Solution

The fourth proportional to 7,139.22, 9,846.68 and 4,744.90 is: 6,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.22 : 9,846.68 = 4,744.90 : x
  2. Step 2: Convert to fraction form
    7,139.22/9,846.68 = 4,744.90/x
  3. Step 3: Cross multiply
    7,139.22x = 9,846.68 × 4,744.90
  4. Step 4: Simplify right side
    7,139.22x = 46,721,511.93
  5. Step 5: Solve for x
    x = 46,721,511.93/7,139.22
  6. Step 6: Final answer
    x = 6,544.34

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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.