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Finding the Fourth Proportional to 9,944.32, 14,916 and 2,548.96

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Solution

The fourth proportional to 9,944.32, 14,916 and 2,548.96 is: 3,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.32 : 14,916 = 2,548.96 : x
  2. Step 2: Convert to fraction form
    9,944.32/14,916 = 2,548.96/x
  3. Step 3: Cross multiply
    9,944.32x = 14,916 × 2,548.96
  4. Step 4: Simplify right side
    9,944.32x = 38,020,287.36
  5. Step 5: Solve for x
    x = 38,020,287.36/9,944.32
  6. Step 6: Final answer
    x = 3,823.32

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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.