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Finding the Fourth Proportional to 6,677.96, 9,216.02 and 3,845.70

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Solution

The fourth proportional to 6,677.96, 9,216.02 and 3,845.70 is: 5,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.96 : 9,216.02 = 3,845.70 : x
  2. Step 2: Convert to fraction form
    6,677.96/9,216.02 = 3,845.70/x
  3. Step 3: Cross multiply
    6,677.96x = 9,216.02 × 3,845.70
  4. Step 4: Simplify right side
    6,677.96x = 35,442,048.11
  5. Step 5: Solve for x
    x = 35,442,048.11/6,677.96
  6. Step 6: Final answer
    x = 5,307.32

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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.