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Finding the Fourth Proportional to 9,281.22, 12,825.03 and 6,758.94

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Solution

The fourth proportional to 9,281.22, 12,825.03 and 6,758.94 is: 9,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.22 : 12,825.03 = 6,758.94 : x
  2. Step 2: Convert to fraction form
    9,281.22/12,825.03 = 6,758.94/x
  3. Step 3: Cross multiply
    9,281.22x = 12,825.03 × 6,758.94
  4. Step 4: Simplify right side
    9,281.22x = 86,683,608.27
  5. Step 5: Solve for x
    x = 86,683,608.27/9,281.22
  6. Step 6: Final answer
    x = 9,339.68

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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.