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Finding the Fourth Proportional to 9,278.10, 13,967.73 and 8,461.62

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Solution

The fourth proportional to 9,278.10, 13,967.73 and 8,461.62 is: 12,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.10 : 13,967.73 = 8,461.62 : x
  2. Step 2: Convert to fraction form
    9,278.10/13,967.73 = 8,461.62/x
  3. Step 3: Cross multiply
    9,278.10x = 13,967.73 × 8,461.62
  4. Step 4: Simplify right side
    9,278.10x = 118,189,623.52
  5. Step 5: Solve for x
    x = 118,189,623.52/9,278.10
  6. Step 6: Final answer
    x = 12,738.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.