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Finding the Fourth Proportional to 9,639.64, 14,454.54 and 4,441

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Solution

The fourth proportional to 9,639.64, 14,454.54 and 4,441 is: 6,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.64 : 14,454.54 = 4,441 : x
  2. Step 2: Convert to fraction form
    9,639.64/14,454.54 = 4,441/x
  3. Step 3: Cross multiply
    9,639.64x = 14,454.54 × 4,441
  4. Step 4: Simplify right side
    9,639.64x = 64,192,612.14
  5. Step 5: Solve for x
    x = 64,192,612.14/9,639.64
  6. Step 6: Final answer
    x = 6,659.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.