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Finding the Fourth Proportional to 9,693.24, 14,531.22 and 4,422.84

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Solution

The fourth proportional to 9,693.24, 14,531.22 and 4,422.84 is: 6,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.24 : 14,531.22 = 4,422.84 : x
  2. Step 2: Convert to fraction form
    9,693.24/14,531.22 = 4,422.84/x
  3. Step 3: Cross multiply
    9,693.24x = 14,531.22 × 4,422.84
  4. Step 4: Simplify right side
    9,693.24x = 64,269,261.06
  5. Step 5: Solve for x
    x = 64,269,261.06/9,693.24
  6. Step 6: Final answer
    x = 6,630.32

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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.