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Finding the Fourth Proportional to 9,254.63, 12,771.47 and 5,062.88

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Solution

The fourth proportional to 9,254.63, 12,771.47 and 5,062.88 is: 6,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.63 : 12,771.47 = 5,062.88 : x
  2. Step 2: Convert to fraction form
    9,254.63/12,771.47 = 5,062.88/x
  3. Step 3: Cross multiply
    9,254.63x = 12,771.47 × 5,062.88
  4. Step 4: Simplify right side
    9,254.63x = 64,660,420.03
  5. Step 5: Solve for x
    x = 64,660,420.03/9,254.63
  6. Step 6: Final answer
    x = 6,986.82

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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.