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Finding the Fourth Proportional to 6,271.52, 9,395.40 and 4,185.23

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Solution

The fourth proportional to 6,271.52, 9,395.40 and 4,185.23 is: 6,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.52 : 9,395.40 = 4,185.23 : x
  2. Step 2: Convert to fraction form
    6,271.52/9,395.40 = 4,185.23/x
  3. Step 3: Cross multiply
    6,271.52x = 9,395.40 × 4,185.23
  4. Step 4: Simplify right side
    6,271.52x = 39,321,909.94
  5. Step 5: Solve for x
    x = 39,321,909.94/6,271.52
  6. Step 6: Final answer
    x = 6,269.92

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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.