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Finding the Fourth Proportional to 6,927.82, 9,557.67 and 4,409.26

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Solution

The fourth proportional to 6,927.82, 9,557.67 and 4,409.26 is: 6,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.82 : 9,557.67 = 4,409.26 : x
  2. Step 2: Convert to fraction form
    6,927.82/9,557.67 = 4,409.26/x
  3. Step 3: Cross multiply
    6,927.82x = 9,557.67 × 4,409.26
  4. Step 4: Simplify right side
    6,927.82x = 42,142,252.02
  5. Step 5: Solve for x
    x = 42,142,252.02/6,927.82
  6. Step 6: Final answer
    x = 6,083.05

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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.