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Finding the Fourth Proportional to 9,422.25, 14,133.67 and 4,739.70

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Solution

The fourth proportional to 9,422.25, 14,133.67 and 4,739.70 is: 7,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.25 : 14,133.67 = 4,739.70 : x
  2. Step 2: Convert to fraction form
    9,422.25/14,133.67 = 4,739.70/x
  3. Step 3: Cross multiply
    9,422.25x = 14,133.67 × 4,739.70
  4. Step 4: Simplify right side
    9,422.25x = 66,989,273.18
  5. Step 5: Solve for x
    x = 66,989,273.18/9,422.25
  6. Step 6: Final answer
    x = 7,109.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.