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Finding the Fourth Proportional to 7,008.81, 9,671.16 and 3,865.20

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Solution

The fourth proportional to 7,008.81, 9,671.16 and 3,865.20 is: 5,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.81 : 9,671.16 = 3,865.20 : x
  2. Step 2: Convert to fraction form
    7,008.81/9,671.16 = 3,865.20/x
  3. Step 3: Cross multiply
    7,008.81x = 9,671.16 × 3,865.20
  4. Step 4: Simplify right side
    7,008.81x = 37,380,967.63
  5. Step 5: Solve for x
    x = 37,380,967.63/7,008.81
  6. Step 6: Final answer
    x = 5,333.43

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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.