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Finding the Fourth Proportional to 6,338.43, 8,746.86 and 3,505.98

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Solution

The fourth proportional to 6,338.43, 8,746.86 and 3,505.98 is: 4,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.43 : 8,746.86 = 3,505.98 : x
  2. Step 2: Convert to fraction form
    6,338.43/8,746.86 = 3,505.98/x
  3. Step 3: Cross multiply
    6,338.43x = 8,746.86 × 3,505.98
  4. Step 4: Simplify right side
    6,338.43x = 30,666,316.22
  5. Step 5: Solve for x
    x = 30,666,316.22/6,338.43
  6. Step 6: Final answer
    x = 4,838.16

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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.