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Finding the Fourth Proportional to 9,157.35, 12,643.17 and 5,626.62

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Solution

The fourth proportional to 9,157.35, 12,643.17 and 5,626.62 is: 7,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.35 : 12,643.17 = 5,626.62 : x
  2. Step 2: Convert to fraction form
    9,157.35/12,643.17 = 5,626.62/x
  3. Step 3: Cross multiply
    9,157.35x = 12,643.17 × 5,626.62
  4. Step 4: Simplify right side
    9,157.35x = 71,138,313.19
  5. Step 5: Solve for x
    x = 71,138,313.19/9,157.35
  6. Step 6: Final answer
    x = 7,768.44

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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.