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Finding the Fourth Proportional to 9,254.89, 12,771.74 and 5,063.14

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Solution

The fourth proportional to 9,254.89, 12,771.74 and 5,063.14 is: 6,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.89 : 12,771.74 = 5,063.14 : x
  2. Step 2: Convert to fraction form
    9,254.89/12,771.74 = 5,063.14/x
  3. Step 3: Cross multiply
    9,254.89x = 12,771.74 × 5,063.14
  4. Step 4: Simplify right side
    9,254.89x = 64,665,082.35
  5. Step 5: Solve for x
    x = 64,665,082.35/9,254.89
  6. Step 6: Final answer
    x = 6,987.13

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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.