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Finding the Fourth Proportional to 9,970.18, 14,961.15 and 3,644.49

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Solution

The fourth proportional to 9,970.18, 14,961.15 and 3,644.49 is: 5,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.18 : 14,961.15 = 3,644.49 : x
  2. Step 2: Convert to fraction form
    9,970.18/14,961.15 = 3,644.49/x
  3. Step 3: Cross multiply
    9,970.18x = 14,961.15 × 3,644.49
  4. Step 4: Simplify right side
    9,970.18x = 54,525,761.56
  5. Step 5: Solve for x
    x = 54,525,761.56/9,970.18
  6. Step 6: Final answer
    x = 5,468.88

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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.