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Finding the Fourth Proportional to 6,406.24, 9,596.93 and 4,208.30

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Solution

The fourth proportional to 6,406.24, 9,596.93 and 4,208.30 is: 6,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.24 : 9,596.93 = 4,208.30 : x
  2. Step 2: Convert to fraction form
    6,406.24/9,596.93 = 4,208.30/x
  3. Step 3: Cross multiply
    6,406.24x = 9,596.93 × 4,208.30
  4. Step 4: Simplify right side
    6,406.24x = 40,386,760.52
  5. Step 5: Solve for x
    x = 40,386,760.52/6,406.24
  6. Step 6: Final answer
    x = 6,304.28

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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.