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Finding the Fourth Proportional to 9,434.92, 13,019.22 and 5,242.60

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Solution

The fourth proportional to 9,434.92, 13,019.22 and 5,242.60 is: 7,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.92 : 13,019.22 = 5,242.60 : x
  2. Step 2: Convert to fraction form
    9,434.92/13,019.22 = 5,242.60/x
  3. Step 3: Cross multiply
    9,434.92x = 13,019.22 × 5,242.60
  4. Step 4: Simplify right side
    9,434.92x = 68,254,562.77
  5. Step 5: Solve for x
    x = 68,254,562.77/9,434.92
  6. Step 6: Final answer
    x = 7,234.25

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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.