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Finding the Fourth Proportional to 9,443.58, 14,221.59 and 8,225.70

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Solution

The fourth proportional to 9,443.58, 14,221.59 and 8,225.70 is: 12,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.58 : 14,221.59 = 8,225.70 : x
  2. Step 2: Convert to fraction form
    9,443.58/14,221.59 = 8,225.70/x
  3. Step 3: Cross multiply
    9,443.58x = 14,221.59 × 8,225.70
  4. Step 4: Simplify right side
    9,443.58x = 116,982,532.86
  5. Step 5: Solve for x
    x = 116,982,532.86/9,443.58
  6. Step 6: Final answer
    x = 12,387.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.