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Finding the Fourth Proportional to 9,395.82, 14,114.07 and 6,107.22

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Solution

The fourth proportional to 9,395.82, 14,114.07 and 6,107.22 is: 9,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.82 : 14,114.07 = 6,107.22 : x
  2. Step 2: Convert to fraction form
    9,395.82/14,114.07 = 6,107.22/x
  3. Step 3: Cross multiply
    9,395.82x = 14,114.07 × 6,107.22
  4. Step 4: Simplify right side
    9,395.82x = 86,197,730.59
  5. Step 5: Solve for x
    x = 86,197,730.59/9,395.82
  6. Step 6: Final answer
    x = 9,174.05

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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.