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Finding the Fourth Proportional to 9,156.89, 13,709.38 and 6,027.48

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Solution

The fourth proportional to 9,156.89, 13,709.38 and 6,027.48 is: 9,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.89 : 13,709.38 = 6,027.48 : x
  2. Step 2: Convert to fraction form
    9,156.89/13,709.38 = 6,027.48/x
  3. Step 3: Cross multiply
    9,156.89x = 13,709.38 × 6,027.48
  4. Step 4: Simplify right side
    9,156.89x = 82,633,013.76
  5. Step 5: Solve for x
    x = 82,633,013.76/9,156.89
  6. Step 6: Final answer
    x = 9,024.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.