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Finding the Fourth Proportional to 9,009.42, 12,438.70 and 6,181.52

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Solution

The fourth proportional to 9,009.42, 12,438.70 and 6,181.52 is: 8,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.42 : 12,438.70 = 6,181.52 : x
  2. Step 2: Convert to fraction form
    9,009.42/12,438.70 = 6,181.52/x
  3. Step 3: Cross multiply
    9,009.42x = 12,438.70 × 6,181.52
  4. Step 4: Simplify right side
    9,009.42x = 76,890,072.82
  5. Step 5: Solve for x
    x = 76,890,072.82/9,009.42
  6. Step 6: Final answer
    x = 8,534.41

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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.