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Finding the Fourth Proportional to 9,422.72, 13,003.46 and 5,887.98

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Solution

The fourth proportional to 9,422.72, 13,003.46 and 5,887.98 is: 8,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.72 : 13,003.46 = 5,887.98 : x
  2. Step 2: Convert to fraction form
    9,422.72/13,003.46 = 5,887.98/x
  3. Step 3: Cross multiply
    9,422.72x = 13,003.46 × 5,887.98
  4. Step 4: Simplify right side
    9,422.72x = 76,564,112.41
  5. Step 5: Solve for x
    x = 76,564,112.41/9,422.72
  6. Step 6: Final answer
    x = 8,125.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.