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Finding the Fourth Proportional to 9,111.97, 13,659.31 and 3,563.47

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Solution

The fourth proportional to 9,111.97, 13,659.31 and 3,563.47 is: 5,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.97 : 13,659.31 = 3,563.47 : x
  2. Step 2: Convert to fraction form
    9,111.97/13,659.31 = 3,563.47/x
  3. Step 3: Cross multiply
    9,111.97x = 13,659.31 × 3,563.47
  4. Step 4: Simplify right side
    9,111.97x = 48,674,541.41
  5. Step 5: Solve for x
    x = 48,674,541.41/9,111.97
  6. Step 6: Final answer
    x = 5,341.82

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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.