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Finding the Fourth Proportional to 6,800.72, 9,386.16 and 4,006.76

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Solution

The fourth proportional to 6,800.72, 9,386.16 and 4,006.76 is: 5,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.72 : 9,386.16 = 4,006.76 : x
  2. Step 2: Convert to fraction form
    6,800.72/9,386.16 = 4,006.76/x
  3. Step 3: Cross multiply
    6,800.72x = 9,386.16 × 4,006.76
  4. Step 4: Simplify right side
    6,800.72x = 37,608,090.44
  5. Step 5: Solve for x
    x = 37,608,090.44/6,800.72
  6. Step 6: Final answer
    x = 5,530.02

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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.