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Finding the Fourth Proportional to 9,422.50, 14,134.04 and 4,739.95

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Solution

The fourth proportional to 9,422.50, 14,134.04 and 4,739.95 is: 7,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.50 : 14,134.04 = 4,739.95 : x
  2. Step 2: Convert to fraction form
    9,422.50/14,134.04 = 4,739.95/x
  3. Step 3: Cross multiply
    9,422.50x = 14,134.04 × 4,739.95
  4. Step 4: Simplify right side
    9,422.50x = 66,994,584.08
  5. Step 5: Solve for x
    x = 66,994,584.08/9,422.50
  6. Step 6: Final answer
    x = 7,110.07

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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.