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Finding the Fourth Proportional to 9,202.86, 12,700.34 and 5,224.35

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Solution

The fourth proportional to 9,202.86, 12,700.34 and 5,224.35 is: 7,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.86 : 12,700.34 = 5,224.35 : x
  2. Step 2: Convert to fraction form
    9,202.86/12,700.34 = 5,224.35/x
  3. Step 3: Cross multiply
    9,202.86x = 12,700.34 × 5,224.35
  4. Step 4: Simplify right side
    9,202.86x = 66,350,995.16
  5. Step 5: Solve for x
    x = 66,350,995.16/9,202.86
  6. Step 6: Final answer
    x = 7,209.82

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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.