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Finding the Fourth Proportional to 9,265.54, 12,786.76 and 5,073.78

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Solution

The fourth proportional to 9,265.54, 12,786.76 and 5,073.78 is: 7,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.54 : 12,786.76 = 5,073.78 : x
  2. Step 2: Convert to fraction form
    9,265.54/12,786.76 = 5,073.78/x
  3. Step 3: Cross multiply
    9,265.54x = 12,786.76 × 5,073.78
  4. Step 4: Simplify right side
    9,265.54x = 64,877,207.15
  5. Step 5: Solve for x
    x = 64,877,207.15/9,265.54
  6. Step 6: Final answer
    x = 7,001.99

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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.