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Finding the Fourth Proportional to 7,074, 9,746.55 and 5,273.82

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Solution

The fourth proportional to 7,074, 9,746.55 and 5,273.82 is: 7,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 9,746.55 = 5,273.82 : x
  2. Step 2: Convert to fraction form
    7,074/9,746.55 = 5,273.82/x
  3. Step 3: Cross multiply
    7,074x = 9,746.55 × 5,273.82
  4. Step 4: Simplify right side
    7,074x = 51,401,550.32
  5. Step 5: Solve for x
    x = 51,401,550.32/7,074
  6. Step 6: Final answer
    x = 7,266.26

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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.