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Finding the Fourth Proportional to 7,001.37, 9,661.85 and 3,814.66

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Solution

The fourth proportional to 7,001.37, 9,661.85 and 3,814.66 is: 5,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.37 : 9,661.85 = 3,814.66 : x
  2. Step 2: Convert to fraction form
    7,001.37/9,661.85 = 3,814.66/x
  3. Step 3: Cross multiply
    7,001.37x = 9,661.85 × 3,814.66
  4. Step 4: Simplify right side
    7,001.37x = 36,856,672.72
  5. Step 5: Solve for x
    x = 36,856,672.72/7,001.37
  6. Step 6: Final answer
    x = 5,264.21

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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.