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Finding the Fourth Proportional to 9,685.88, 14,531.12 and 5,247.98

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Solution

The fourth proportional to 9,685.88, 14,531.12 and 5,247.98 is: 7,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.88 : 14,531.12 = 5,247.98 : x
  2. Step 2: Convert to fraction form
    9,685.88/14,531.12 = 5,247.98/x
  3. Step 3: Cross multiply
    9,685.88x = 14,531.12 × 5,247.98
  4. Step 4: Simplify right side
    9,685.88x = 76,259,027.14
  5. Step 5: Solve for x
    x = 76,259,027.14/9,685.88
  6. Step 6: Final answer
    x = 7,873.22

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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.