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Finding the Fourth Proportional to 9,548.32, 14,322.48 and 2,624.80

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Solution

The fourth proportional to 9,548.32, 14,322.48 and 2,624.80 is: 3,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.32 : 14,322.48 = 2,624.80 : x
  2. Step 2: Convert to fraction form
    9,548.32/14,322.48 = 2,624.80/x
  3. Step 3: Cross multiply
    9,548.32x = 14,322.48 × 2,624.80
  4. Step 4: Simplify right side
    9,548.32x = 37,593,645.50
  5. Step 5: Solve for x
    x = 37,593,645.50/9,548.32
  6. Step 6: Final answer
    x = 3,937.20

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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.