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Finding the Fourth Proportional to 6,176.40, 9,252.45 and 4,208.10

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Solution

The fourth proportional to 6,176.40, 9,252.45 and 4,208.10 is: 6,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.40 : 9,252.45 = 4,208.10 : x
  2. Step 2: Convert to fraction form
    6,176.40/9,252.45 = 4,208.10/x
  3. Step 3: Cross multiply
    6,176.40x = 9,252.45 × 4,208.10
  4. Step 4: Simplify right side
    6,176.40x = 38,935,234.85
  5. Step 5: Solve for x
    x = 38,935,234.85/6,176.40
  6. Step 6: Final answer
    x = 6,303.87

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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.