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Finding the Fourth Proportional to 6,224.16, 9,335.92 and 3,146.08

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Solution

The fourth proportional to 6,224.16, 9,335.92 and 3,146.08 is: 4,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.16 : 9,335.92 = 3,146.08 : x
  2. Step 2: Convert to fraction form
    6,224.16/9,335.92 = 3,146.08/x
  3. Step 3: Cross multiply
    6,224.16x = 9,335.92 × 3,146.08
  4. Step 4: Simplify right side
    6,224.16x = 29,371,551.19
  5. Step 5: Solve for x
    x = 29,371,551.19/6,224.16
  6. Step 6: Final answer
    x = 4,718.96

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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.