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Finding the Fourth Proportional to 9,138.60, 12,613.66 and 5,362.32

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Solution

The fourth proportional to 9,138.60, 12,613.66 and 5,362.32 is: 7,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.60 : 12,613.66 = 5,362.32 : x
  2. Step 2: Convert to fraction form
    9,138.60/12,613.66 = 5,362.32/x
  3. Step 3: Cross multiply
    9,138.60x = 12,613.66 × 5,362.32
  4. Step 4: Simplify right side
    9,138.60x = 67,638,481.29
  5. Step 5: Solve for x
    x = 67,638,481.29/9,138.60
  6. Step 6: Final answer
    x = 7,401.41

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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.