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Finding the Fourth Proportional to 9,024.70, 13,500.60 and 7,805.66

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Solution

The fourth proportional to 9,024.70, 13,500.60 and 7,805.66 is: 11,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.70 : 13,500.60 = 7,805.66 : x
  2. Step 2: Convert to fraction form
    9,024.70/13,500.60 = 7,805.66/x
  3. Step 3: Cross multiply
    9,024.70x = 13,500.60 × 7,805.66
  4. Step 4: Simplify right side
    9,024.70x = 105,381,093.40
  5. Step 5: Solve for x
    x = 105,381,093.40/9,024.70
  6. Step 6: Final answer
    x = 11,676.96

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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.