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Finding the Fourth Proportional to 9,964.13, 14,943.86 and 2,944.60

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Solution

The fourth proportional to 9,964.13, 14,943.86 and 2,944.60 is: 4,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.13 : 14,943.86 = 2,944.60 : x
  2. Step 2: Convert to fraction form
    9,964.13/14,943.86 = 2,944.60/x
  3. Step 3: Cross multiply
    9,964.13x = 14,943.86 × 2,944.60
  4. Step 4: Simplify right side
    9,964.13x = 44,003,649.12
  5. Step 5: Solve for x
    x = 44,003,649.12/9,964.13
  6. Step 6: Final answer
    x = 4,416.21

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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.