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Finding the Fourth Proportional to 9,888.82, 13,642.23 and 5,907.94

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Solution

The fourth proportional to 9,888.82, 13,642.23 and 5,907.94 is: 8,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.82 : 13,642.23 = 5,907.94 : x
  2. Step 2: Convert to fraction form
    9,888.82/13,642.23 = 5,907.94/x
  3. Step 3: Cross multiply
    9,888.82x = 13,642.23 × 5,907.94
  4. Step 4: Simplify right side
    9,888.82x = 80,597,476.31
  5. Step 5: Solve for x
    x = 80,597,476.31/9,888.82
  6. Step 6: Final answer
    x = 8,150.36

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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.