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Finding the Fourth Proportional to 9,422.32, 14,133.78 and 4,739.77

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Solution

The fourth proportional to 9,422.32, 14,133.78 and 4,739.77 is: 7,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.32 : 14,133.78 = 4,739.77 : x
  2. Step 2: Convert to fraction form
    9,422.32/14,133.78 = 4,739.77/x
  3. Step 3: Cross multiply
    9,422.32x = 14,133.78 × 4,739.77
  4. Step 4: Simplify right side
    9,422.32x = 66,990,866.43
  5. Step 5: Solve for x
    x = 66,990,866.43/9,422.32
  6. Step 6: Final answer
    x = 7,109.81

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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.