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Finding the Fourth Proportional to 9,803.66, 13,521.90 and 6,219.71

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Solution

The fourth proportional to 9,803.66, 13,521.90 and 6,219.71 is: 8,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.66 : 13,521.90 = 6,219.71 : x
  2. Step 2: Convert to fraction form
    9,803.66/13,521.90 = 6,219.71/x
  3. Step 3: Cross multiply
    9,803.66x = 13,521.90 × 6,219.71
  4. Step 4: Simplify right side
    9,803.66x = 84,102,296.65
  5. Step 5: Solve for x
    x = 84,102,296.65/9,803.66
  6. Step 6: Final answer
    x = 8,578.66

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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.