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Finding the Fourth Proportional to 9,964.14, 14,946.62 and 2,944.15

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Solution

The fourth proportional to 9,964.14, 14,946.62 and 2,944.15 is: 4,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.14 : 14,946.62 = 2,944.15 : x
  2. Step 2: Convert to fraction form
    9,964.14/14,946.62 = 2,944.15/x
  3. Step 3: Cross multiply
    9,964.14x = 14,946.62 × 2,944.15
  4. Step 4: Simplify right side
    9,964.14x = 44,005,091.27
  5. Step 5: Solve for x
    x = 44,005,091.27/9,964.14
  6. Step 6: Final answer
    x = 4,416.35

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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.