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Finding the Fourth Proportional to 9,298.06, 12,825.24 and 5,518.42

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Solution

The fourth proportional to 9,298.06, 12,825.24 and 5,518.42 is: 7,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.06 : 12,825.24 = 5,518.42 : x
  2. Step 2: Convert to fraction form
    9,298.06/12,825.24 = 5,518.42/x
  3. Step 3: Cross multiply
    9,298.06x = 12,825.24 × 5,518.42
  4. Step 4: Simplify right side
    9,298.06x = 70,775,060.92
  5. Step 5: Solve for x
    x = 70,775,060.92/9,298.06
  6. Step 6: Final answer
    x = 7,611.81

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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.