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Finding the Fourth Proportional to 9,948, 14,922.60 and 3,022.56

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Solution

The fourth proportional to 9,948, 14,922.60 and 3,022.56 is: 4,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 14,922.60 = 3,022.56 : x
  2. Step 2: Convert to fraction form
    9,948/14,922.60 = 3,022.56/x
  3. Step 3: Cross multiply
    9,948x = 14,922.60 × 3,022.56
  4. Step 4: Simplify right side
    9,948x = 45,104,453.86
  5. Step 5: Solve for x
    x = 45,104,453.86/9,948
  6. Step 6: Final answer
    x = 4,534.02

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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.