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Finding the Fourth Proportional to 9,265.28, 12,786.06 and 5,073.50

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Solution

The fourth proportional to 9,265.28, 12,786.06 and 5,073.50 is: 7,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.28 : 12,786.06 = 5,073.50 : x
  2. Step 2: Convert to fraction form
    9,265.28/12,786.06 = 5,073.50/x
  3. Step 3: Cross multiply
    9,265.28x = 12,786.06 × 5,073.50
  4. Step 4: Simplify right side
    9,265.28x = 64,870,075.41
  5. Step 5: Solve for x
    x = 64,870,075.41/9,265.28
  6. Step 6: Final answer
    x = 7,001.42

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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.