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Finding the Fourth Proportional to 6,156.36, 9,230.44 and 4,182.68

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Solution

The fourth proportional to 6,156.36, 9,230.44 and 4,182.68 is: 6,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.36 : 9,230.44 = 4,182.68 : x
  2. Step 2: Convert to fraction form
    6,156.36/9,230.44 = 4,182.68/x
  3. Step 3: Cross multiply
    6,156.36x = 9,230.44 × 4,182.68
  4. Step 4: Simplify right side
    6,156.36x = 38,607,976.78
  5. Step 5: Solve for x
    x = 38,607,976.78/6,156.36
  6. Step 6: Final answer
    x = 6,271.23

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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.