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Finding the Fourth Proportional to 6,794.30, 9,377.12 and 3,810.47

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Solution

The fourth proportional to 6,794.30, 9,377.12 and 3,810.47 is: 5,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.30 : 9,377.12 = 3,810.47 : x
  2. Step 2: Convert to fraction form
    6,794.30/9,377.12 = 3,810.47/x
  3. Step 3: Cross multiply
    6,794.30x = 9,377.12 × 3,810.47
  4. Step 4: Simplify right side
    6,794.30x = 35,731,168.51
  5. Step 5: Solve for x
    x = 35,731,168.51/6,794.30
  6. Step 6: Final answer
    x = 5,259.00

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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.