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Finding the Fourth Proportional to 6,338.19, 8,746.67 and 3,543.69

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Solution

The fourth proportional to 6,338.19, 8,746.67 and 3,543.69 is: 4,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.19 : 8,746.67 = 3,543.69 : x
  2. Step 2: Convert to fraction form
    6,338.19/8,746.67 = 3,543.69/x
  3. Step 3: Cross multiply
    6,338.19x = 8,746.67 × 3,543.69
  4. Step 4: Simplify right side
    6,338.19x = 30,995,495.87
  5. Step 5: Solve for x
    x = 30,995,495.87/6,338.19
  6. Step 6: Final answer
    x = 4,890.28

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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.