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Finding the Fourth Proportional to 9,274.12, 12,795.80 and 5,294.44

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Solution

The fourth proportional to 9,274.12, 12,795.80 and 5,294.44 is: 7,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.12 : 12,795.80 = 5,294.44 : x
  2. Step 2: Convert to fraction form
    9,274.12/12,795.80 = 5,294.44/x
  3. Step 3: Cross multiply
    9,274.12x = 12,795.80 × 5,294.44
  4. Step 4: Simplify right side
    9,274.12x = 67,746,568.88
  5. Step 5: Solve for x
    x = 67,746,568.88/9,274.12
  6. Step 6: Final answer
    x = 7,304.91

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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.