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Finding the Fourth Proportional to 6,009.82, 9,008.34 and 3,545.80

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Solution

The fourth proportional to 6,009.82, 9,008.34 and 3,545.80 is: 5,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.82 : 9,008.34 = 3,545.80 : x
  2. Step 2: Convert to fraction form
    6,009.82/9,008.34 = 3,545.80/x
  3. Step 3: Cross multiply
    6,009.82x = 9,008.34 × 3,545.80
  4. Step 4: Simplify right side
    6,009.82x = 31,941,726.93
  5. Step 5: Solve for x
    x = 31,941,726.93/6,009.82
  6. Step 6: Final answer
    x = 5,314.93

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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.