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Finding the Fourth Proportional to 9,111.67, 13,666.42 and 3,187.60

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Solution

The fourth proportional to 9,111.67, 13,666.42 and 3,187.60 is: 4,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.67 : 13,666.42 = 3,187.60 : x
  2. Step 2: Convert to fraction form
    9,111.67/13,666.42 = 3,187.60/x
  3. Step 3: Cross multiply
    9,111.67x = 13,666.42 × 3,187.60
  4. Step 4: Simplify right side
    9,111.67x = 43,563,080.39
  5. Step 5: Solve for x
    x = 43,563,080.39/9,111.67
  6. Step 6: Final answer
    x = 4,781.02

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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.