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Finding the Fourth Proportional to 6,239.51, 9,356.14 and 2,078.06

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Solution

The fourth proportional to 6,239.51, 9,356.14 and 2,078.06 is: 3,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.51 : 9,356.14 = 2,078.06 : x
  2. Step 2: Convert to fraction form
    6,239.51/9,356.14 = 2,078.06/x
  3. Step 3: Cross multiply
    6,239.51x = 9,356.14 × 2,078.06
  4. Step 4: Simplify right side
    6,239.51x = 19,442,563.12
  5. Step 5: Solve for x
    x = 19,442,563.12/6,239.51
  6. Step 6: Final answer
    x = 3,116.04

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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.