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Finding the Fourth Proportional to 9,531.02, 13,142.50 and 8,018.19

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Solution

The fourth proportional to 9,531.02, 13,142.50 and 8,018.19 is: 11,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.02 : 13,142.50 = 8,018.19 : x
  2. Step 2: Convert to fraction form
    9,531.02/13,142.50 = 8,018.19/x
  3. Step 3: Cross multiply
    9,531.02x = 13,142.50 × 8,018.19
  4. Step 4: Simplify right side
    9,531.02x = 105,379,087.13
  5. Step 5: Solve for x
    x = 105,379,087.13/9,531.02
  6. Step 6: Final answer
    x = 11,056.44

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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.