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Finding the Fourth Proportional to 6,820.18, 9,412.76 and 5,056.82

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Solution

The fourth proportional to 6,820.18, 9,412.76 and 5,056.82 is: 6,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.18 : 9,412.76 = 5,056.82 : x
  2. Step 2: Convert to fraction form
    6,820.18/9,412.76 = 5,056.82/x
  3. Step 3: Cross multiply
    6,820.18x = 9,412.76 × 5,056.82
  4. Step 4: Simplify right side
    6,820.18x = 47,598,633.02
  5. Step 5: Solve for x
    x = 47,598,633.02/6,820.18
  6. Step 6: Final answer
    x = 6,979.09

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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.