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Finding the Fourth Proportional to 4,671.30, 6,993.05 and 4,665.14

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Solution

The fourth proportional to 4,671.30, 6,993.05 and 4,665.14 is: 6,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.30 : 6,993.05 = 4,665.14 : x
  2. Step 2: Convert to fraction form
    4,671.30/6,993.05 = 4,665.14/x
  3. Step 3: Cross multiply
    4,671.30x = 6,993.05 × 4,665.14
  4. Step 4: Simplify right side
    4,671.30x = 32,623,571.11
  5. Step 5: Solve for x
    x = 32,623,571.11/4,671.30
  6. Step 6: Final answer
    x = 6,983.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.