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Finding the Fourth Proportional to 9,202.95, 12,699.34 and 5,224.72

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Solution

The fourth proportional to 9,202.95, 12,699.34 and 5,224.72 is: 7,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.95 : 12,699.34 = 5,224.72 : x
  2. Step 2: Convert to fraction form
    9,202.95/12,699.34 = 5,224.72/x
  3. Step 3: Cross multiply
    9,202.95x = 12,699.34 × 5,224.72
  4. Step 4: Simplify right side
    9,202.95x = 66,350,495.68
  5. Step 5: Solve for x
    x = 66,350,495.68/9,202.95
  6. Step 6: Final answer
    x = 7,209.70

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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.