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Finding the Fourth Proportional to 9,372.27, 12,907.56 and 7,785.90

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Solution

The fourth proportional to 9,372.27, 12,907.56 and 7,785.90 is: 10,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.27 : 12,907.56 = 7,785.90 : x
  2. Step 2: Convert to fraction form
    9,372.27/12,907.56 = 7,785.90/x
  3. Step 3: Cross multiply
    9,372.27x = 12,907.56 × 7,785.90
  4. Step 4: Simplify right side
    9,372.27x = 100,496,971.40
  5. Step 5: Solve for x
    x = 100,496,971.40/9,372.27
  6. Step 6: Final answer
    x = 10,722.80

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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.