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Finding the Fourth Proportional to 9,644.78, 14,443.57 and 8,709.84

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Solution

The fourth proportional to 9,644.78, 14,443.57 and 8,709.84 is: 13,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.78 : 14,443.57 = 8,709.84 : x
  2. Step 2: Convert to fraction form
    9,644.78/14,443.57 = 8,709.84/x
  3. Step 3: Cross multiply
    9,644.78x = 14,443.57 × 8,709.84
  4. Step 4: Simplify right side
    9,644.78x = 125,801,133.29
  5. Step 5: Solve for x
    x = 125,801,133.29/9,644.78
  6. Step 6: Final answer
    x = 13,043.45

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1.5x scale

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.