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Finding the Fourth Proportional to 9,287.56, 13,930.62 and 2,713.60

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Solution

The fourth proportional to 9,287.56, 13,930.62 and 2,713.60 is: 4,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.56 : 13,930.62 = 2,713.60 : x
  2. Step 2: Convert to fraction form
    9,287.56/13,930.62 = 2,713.60/x
  3. Step 3: Cross multiply
    9,287.56x = 13,930.62 × 2,713.60
  4. Step 4: Simplify right side
    9,287.56x = 37,802,130.43
  5. Step 5: Solve for x
    x = 37,802,130.43/9,287.56
  6. Step 6: Final answer
    x = 4,070.19

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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.