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Finding the Fourth Proportional to 6,699.92, 9,245.75 and 3,715.69

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Solution

The fourth proportional to 6,699.92, 9,245.75 and 3,715.69 is: 5,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.92 : 9,245.75 = 3,715.69 : x
  2. Step 2: Convert to fraction form
    6,699.92/9,245.75 = 3,715.69/x
  3. Step 3: Cross multiply
    6,699.92x = 9,245.75 × 3,715.69
  4. Step 4: Simplify right side
    6,699.92x = 34,354,337.36
  5. Step 5: Solve for x
    x = 34,354,337.36/6,699.92
  6. Step 6: Final answer
    x = 5,127.57

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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.