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Finding the Fourth Proportional to 6,814.16, 10,228.40 and 6,039.13

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Solution

The fourth proportional to 6,814.16, 10,228.40 and 6,039.13 is: 9,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.16 : 10,228.40 = 6,039.13 : x
  2. Step 2: Convert to fraction form
    6,814.16/10,228.40 = 6,039.13/x
  3. Step 3: Cross multiply
    6,814.16x = 10,228.40 × 6,039.13
  4. Step 4: Simplify right side
    6,814.16x = 61,770,637.29
  5. Step 5: Solve for x
    x = 61,770,637.29/6,814.16
  6. Step 6: Final answer
    x = 9,065.04

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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.