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Finding the Fourth Proportional to 9,761.34, 14,623.64 and 4,825.20

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Solution

The fourth proportional to 9,761.34, 14,623.64 and 4,825.20 is: 7,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.34 : 14,623.64 = 4,825.20 : x
  2. Step 2: Convert to fraction form
    9,761.34/14,623.64 = 4,825.20/x
  3. Step 3: Cross multiply
    9,761.34x = 14,623.64 × 4,825.20
  4. Step 4: Simplify right side
    9,761.34x = 70,561,987.73
  5. Step 5: Solve for x
    x = 70,561,987.73/9,761.34
  6. Step 6: Final answer
    x = 7,228.72

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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.