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Finding the Fourth Proportional to 6,820.71, 9,419.49 and 5,139.51

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Solution

The fourth proportional to 6,820.71, 9,419.49 and 5,139.51 is: 7,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.71 : 9,419.49 = 5,139.51 : x
  2. Step 2: Convert to fraction form
    6,820.71/9,419.49 = 5,139.51/x
  3. Step 3: Cross multiply
    6,820.71x = 9,419.49 × 5,139.51
  4. Step 4: Simplify right side
    6,820.71x = 48,411,563.05
  5. Step 5: Solve for x
    x = 48,411,563.05/6,820.71
  6. Step 6: Final answer
    x = 7,097.73

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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.