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Finding the Fourth Proportional to 6,922.02, 9,552.75 and 4,562.46

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Solution

The fourth proportional to 6,922.02, 9,552.75 and 4,562.46 is: 6,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.02 : 9,552.75 = 4,562.46 : x
  2. Step 2: Convert to fraction form
    6,922.02/9,552.75 = 4,562.46/x
  3. Step 3: Cross multiply
    6,922.02x = 9,552.75 × 4,562.46
  4. Step 4: Simplify right side
    6,922.02x = 43,584,039.77
  5. Step 5: Solve for x
    x = 43,584,039.77/6,922.02
  6. Step 6: Final answer
    x = 6,296.43

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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.