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Finding the Fourth Proportional to 7,018.50, 9,685.50 and 3,874.66

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Solution

The fourth proportional to 7,018.50, 9,685.50 and 3,874.66 is: 5,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.50 : 9,685.50 = 3,874.66 : x
  2. Step 2: Convert to fraction form
    7,018.50/9,685.50 = 3,874.66/x
  3. Step 3: Cross multiply
    7,018.50x = 9,685.50 × 3,874.66
  4. Step 4: Simplify right side
    7,018.50x = 37,528,019.43
  5. Step 5: Solve for x
    x = 37,528,019.43/7,018.50
  6. Step 6: Final answer
    x = 5,347.01

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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.