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Finding the Fourth Proportional to 7,005.20, 9,666.99 and 3,818.57

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Solution

The fourth proportional to 7,005.20, 9,666.99 and 3,818.57 is: 5,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.20 : 9,666.99 = 3,818.57 : x
  2. Step 2: Convert to fraction form
    7,005.20/9,666.99 = 3,818.57/x
  3. Step 3: Cross multiply
    7,005.20x = 9,666.99 × 3,818.57
  4. Step 4: Simplify right side
    7,005.20x = 36,914,102.17
  5. Step 5: Solve for x
    x = 36,914,102.17/7,005.20
  6. Step 6: Final answer
    x = 5,269.53

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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.