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Finding the Fourth Proportional to 9,106.48, 12,568.33 and 6,562.68

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Solution

The fourth proportional to 9,106.48, 12,568.33 and 6,562.68 is: 9,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.48 : 12,568.33 = 6,562.68 : x
  2. Step 2: Convert to fraction form
    9,106.48/12,568.33 = 6,562.68/x
  3. Step 3: Cross multiply
    9,106.48x = 12,568.33 × 6,562.68
  4. Step 4: Simplify right side
    9,106.48x = 82,481,865.08
  5. Step 5: Solve for x
    x = 82,481,865.08/9,106.48
  6. Step 6: Final answer
    x = 9,057.49

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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.