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Finding the Fourth Proportional to 6,736.86, 9,295.98 and 3,752.34

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Solution

The fourth proportional to 6,736.86, 9,295.98 and 3,752.34 is: 5,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.86 : 9,295.98 = 3,752.34 : x
  2. Step 2: Convert to fraction form
    6,736.86/9,295.98 = 3,752.34/x
  3. Step 3: Cross multiply
    6,736.86x = 9,295.98 × 3,752.34
  4. Step 4: Simplify right side
    6,736.86x = 34,881,677.59
  5. Step 5: Solve for x
    x = 34,881,677.59/6,736.86
  6. Step 6: Final answer
    x = 5,177.74

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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.