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Finding the Fourth Proportional to 6,602.88, 9,904.32 and 1,986.56

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Solution

The fourth proportional to 6,602.88, 9,904.32 and 1,986.56 is: 2,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.88 : 9,904.32 = 1,986.56 : x
  2. Step 2: Convert to fraction form
    6,602.88/9,904.32 = 1,986.56/x
  3. Step 3: Cross multiply
    6,602.88x = 9,904.32 × 1,986.56
  4. Step 4: Simplify right side
    6,602.88x = 19,675,525.94
  5. Step 5: Solve for x
    x = 19,675,525.94/6,602.88
  6. Step 6: Final answer
    x = 2,979.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.