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Finding the Fourth Proportional to 9,489.56, 14,235.06 and 2,564

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Solution

The fourth proportional to 9,489.56, 14,235.06 and 2,564 is: 3,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.56 : 14,235.06 = 2,564 : x
  2. Step 2: Convert to fraction form
    9,489.56/14,235.06 = 2,564/x
  3. Step 3: Cross multiply
    9,489.56x = 14,235.06 × 2,564
  4. Step 4: Simplify right side
    9,489.56x = 36,498,693.84
  5. Step 5: Solve for x
    x = 36,498,693.84/9,489.56
  6. Step 6: Final answer
    x = 3,846.19

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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.