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Finding the Fourth Proportional to 6,989.61, 9,645.84 and 3,803.09

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Solution

The fourth proportional to 6,989.61, 9,645.84 and 3,803.09 is: 5,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.61 : 9,645.84 = 3,803.09 : x
  2. Step 2: Convert to fraction form
    6,989.61/9,645.84 = 3,803.09/x
  3. Step 3: Cross multiply
    6,989.61x = 9,645.84 × 3,803.09
  4. Step 4: Simplify right side
    6,989.61x = 36,683,997.65
  5. Step 5: Solve for x
    x = 36,683,997.65/6,989.61
  6. Step 6: Final answer
    x = 5,248.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.