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Finding the Fourth Proportional to 6,367.36, 9,551.27 and 1,985.16

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Solution

The fourth proportional to 6,367.36, 9,551.27 and 1,985.16 is: 2,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.36 : 9,551.27 = 1,985.16 : x
  2. Step 2: Convert to fraction form
    6,367.36/9,551.27 = 1,985.16/x
  3. Step 3: Cross multiply
    6,367.36x = 9,551.27 × 1,985.16
  4. Step 4: Simplify right side
    6,367.36x = 18,960,775.04
  5. Step 5: Solve for x
    x = 18,960,775.04/6,367.36
  6. Step 6: Final answer
    x = 2,977.81

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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.