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Finding the Fourth Proportional to 9,629.64, 14,439.54 and 4,431

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Solution

The fourth proportional to 9,629.64, 14,439.54 and 4,431 is: 6,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.64 : 14,439.54 = 4,431 : x
  2. Step 2: Convert to fraction form
    9,629.64/14,439.54 = 4,431/x
  3. Step 3: Cross multiply
    9,629.64x = 14,439.54 × 4,431
  4. Step 4: Simplify right side
    9,629.64x = 63,981,601.74
  5. Step 5: Solve for x
    x = 63,981,601.74/9,629.64
  6. Step 6: Final answer
    x = 6,644.24

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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.