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Finding the Fourth Proportional to 9,467.10, 13,065.57 and 5,691.50

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Solution

The fourth proportional to 9,467.10, 13,065.57 and 5,691.50 is: 7,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.10 : 13,065.57 = 5,691.50 : x
  2. Step 2: Convert to fraction form
    9,467.10/13,065.57 = 5,691.50/x
  3. Step 3: Cross multiply
    9,467.10x = 13,065.57 × 5,691.50
  4. Step 4: Simplify right side
    9,467.10x = 74,362,626.33
  5. Step 5: Solve for x
    x = 74,362,626.33/9,467.10
  6. Step 6: Final answer
    x = 7,854.85

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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.