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Finding the Fourth Proportional to 6,368.36, 9,552.77 and 1,986.16

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Solution

The fourth proportional to 6,368.36, 9,552.77 and 1,986.16 is: 2,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.36 : 9,552.77 = 1,986.16 : x
  2. Step 2: Convert to fraction form
    6,368.36/9,552.77 = 1,986.16/x
  3. Step 3: Cross multiply
    6,368.36x = 9,552.77 × 1,986.16
  4. Step 4: Simplify right side
    6,368.36x = 18,973,329.66
  5. Step 5: Solve for x
    x = 18,973,329.66/6,368.36
  6. Step 6: Final answer
    x = 2,979.31

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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.