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Finding the Fourth Proportional to 9,281.12, 13,922.28 and 2,706.75

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Solution

The fourth proportional to 9,281.12, 13,922.28 and 2,706.75 is: 4,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.12 : 13,922.28 = 2,706.75 : x
  2. Step 2: Convert to fraction form
    9,281.12/13,922.28 = 2,706.75/x
  3. Step 3: Cross multiply
    9,281.12x = 13,922.28 × 2,706.75
  4. Step 4: Simplify right side
    9,281.12x = 37,684,131.39
  5. Step 5: Solve for x
    x = 37,684,131.39/9,281.12
  6. Step 6: Final answer
    x = 4,060.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.