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Finding the Fourth Proportional to 7,018.70, 9,685.71 and 3,874.68

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Solution

The fourth proportional to 7,018.70, 9,685.71 and 3,874.68 is: 5,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.70 : 9,685.71 = 3,874.68 : x
  2. Step 2: Convert to fraction form
    7,018.70/9,685.71 = 3,874.68/x
  3. Step 3: Cross multiply
    7,018.70x = 9,685.71 × 3,874.68
  4. Step 4: Simplify right side
    7,018.70x = 37,529,026.82
  5. Step 5: Solve for x
    x = 37,529,026.82/7,018.70
  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.