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Finding the Fourth Proportional to 6,224.97, 9,335.54 and 1,782.32

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Solution

The fourth proportional to 6,224.97, 9,335.54 and 1,782.32 is: 2,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.97 : 9,335.54 = 1,782.32 : x
  2. Step 2: Convert to fraction form
    6,224.97/9,335.54 = 1,782.32/x
  3. Step 3: Cross multiply
    6,224.97x = 9,335.54 × 1,782.32
  4. Step 4: Simplify right side
    6,224.97x = 16,638,864.06
  5. Step 5: Solve for x
    x = 16,638,864.06/6,224.97
  6. Step 6: Final answer
    x = 2,672.92

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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.