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Finding the Fourth Proportional to 10,378.81, 15,568.20 and 6,220.09

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Solution

The fourth proportional to 10,378.81, 15,568.20 and 6,220.09 is: 9,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.81 : 15,568.20 = 6,220.09 : x
  2. Step 2: Convert to fraction form
    10,378.81/15,568.20 = 6,220.09/x
  3. Step 3: Cross multiply
    10,378.81x = 15,568.20 × 6,220.09
  4. Step 4: Simplify right side
    10,378.81x = 96,835,605.14
  5. Step 5: Solve for x
    x = 96,835,605.14/10,378.81
  6. Step 6: Final answer
    x = 9,330.13

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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.