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Finding the Fourth Proportional to 9,257.18, 12,771.74 and 5,275.42

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Solution

The fourth proportional to 9,257.18, 12,771.74 and 5,275.42 is: 7,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.18 : 12,771.74 = 5,275.42 : x
  2. Step 2: Convert to fraction form
    9,257.18/12,771.74 = 5,275.42/x
  3. Step 3: Cross multiply
    9,257.18x = 12,771.74 × 5,275.42
  4. Step 4: Simplify right side
    9,257.18x = 67,376,292.63
  5. Step 5: Solve for x
    x = 67,376,292.63/9,257.18
  6. Step 6: Final answer
    x = 7,278.27

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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.