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Finding the Fourth Proportional to 6,922.50, 9,557.37 and 4,442.82

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Solution

The fourth proportional to 6,922.50, 9,557.37 and 4,442.82 is: 6,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.50 : 9,557.37 = 4,442.82 : x
  2. Step 2: Convert to fraction form
    6,922.50/9,557.37 = 4,442.82/x
  3. Step 3: Cross multiply
    6,922.50x = 9,557.37 × 4,442.82
  4. Step 4: Simplify right side
    6,922.50x = 42,461,674.58
  5. Step 5: Solve for x
    x = 42,461,674.58/6,922.50
  6. Step 6: Final answer
    x = 6,133.86

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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.