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Finding the Fourth Proportional to 9,321.05, 12,870.83 and 6,191.21

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Solution

The fourth proportional to 9,321.05, 12,870.83 and 6,191.21 is: 8,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.05 : 12,870.83 = 6,191.21 : x
  2. Step 2: Convert to fraction form
    9,321.05/12,870.83 = 6,191.21/x
  3. Step 3: Cross multiply
    9,321.05x = 12,870.83 × 6,191.21
  4. Step 4: Simplify right side
    9,321.05x = 79,686,011.40
  5. Step 5: Solve for x
    x = 79,686,011.40/9,321.05
  6. Step 6: Final answer
    x = 8,549.04

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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.