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Finding the Fourth Proportional to 9,254.75, 12,771.76 and 5,063

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Solution

The fourth proportional to 9,254.75, 12,771.76 and 5,063 is: 6,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.75 : 12,771.76 = 5,063 : x
  2. Step 2: Convert to fraction form
    9,254.75/12,771.76 = 5,063/x
  3. Step 3: Cross multiply
    9,254.75x = 12,771.76 × 5,063
  4. Step 4: Simplify right side
    9,254.75x = 64,663,420.88
  5. Step 5: Solve for x
    x = 64,663,420.88/9,254.75
  6. Step 6: Final answer
    x = 6,987.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.