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Finding the Fourth Proportional to 6,545.12, 9,797.03 and 4,202.00

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Solution

The fourth proportional to 6,545.12, 9,797.03 and 4,202.00 is: 6,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.12 : 9,797.03 = 4,202.00 : x
  2. Step 2: Convert to fraction form
    6,545.12/9,797.03 = 4,202.00/x
  3. Step 3: Cross multiply
    6,545.12x = 9,797.03 × 4,202.00
  4. Step 4: Simplify right side
    6,545.12x = 41,167,050.06
  5. Step 5: Solve for x
    x = 41,167,050.06/6,545.12
  6. Step 6: Final answer
    x = 6,289.73

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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.