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Finding the Fourth Proportional to 7,018.64, 9,685.46 and 3,874.76

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Solution

The fourth proportional to 7,018.64, 9,685.46 and 3,874.76 is: 5,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.64 : 9,685.46 = 3,874.76 : x
  2. Step 2: Convert to fraction form
    7,018.64/9,685.46 = 3,874.76/x
  3. Step 3: Cross multiply
    7,018.64x = 9,685.46 × 3,874.76
  4. Step 4: Simplify right side
    7,018.64x = 37,528,794.25
  5. Step 5: Solve for x
    x = 37,528,794.25/7,018.64
  6. Step 6: Final answer
    x = 5,347.02

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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.