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Finding the Fourth Proportional to 9,544.32, 14,314.05 and 6,422.58

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Solution

The fourth proportional to 9,544.32, 14,314.05 and 6,422.58 is: 9,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.32 : 14,314.05 = 6,422.58 : x
  2. Step 2: Convert to fraction form
    9,544.32/14,314.05 = 6,422.58/x
  3. Step 3: Cross multiply
    9,544.32x = 14,314.05 × 6,422.58
  4. Step 4: Simplify right side
    9,544.32x = 91,933,131.25
  5. Step 5: Solve for x
    x = 91,933,131.25/9,544.32
  6. Step 6: Final answer
    x = 9,632.23

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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.