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Finding the Fourth Proportional to 9,203.92, 12,701 and 5,224.96

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Solution

The fourth proportional to 9,203.92, 12,701 and 5,224.96 is: 7,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.92 : 12,701 = 5,224.96 : x
  2. Step 2: Convert to fraction form
    9,203.92/12,701 = 5,224.96/x
  3. Step 3: Cross multiply
    9,203.92x = 12,701 × 5,224.96
  4. Step 4: Simplify right side
    9,203.92x = 66,362,216.96
  5. Step 5: Solve for x
    x = 66,362,216.96/9,203.92
  6. Step 6: Final answer
    x = 7,210.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.