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Finding the Fourth Proportional to 9,152.14, 13,702.26 and 6,022.73

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Solution

The fourth proportional to 9,152.14, 13,702.26 and 6,022.73 is: 9,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.14 : 13,702.26 = 6,022.73 : x
  2. Step 2: Convert to fraction form
    9,152.14/13,702.26 = 6,022.73/x
  3. Step 3: Cross multiply
    9,152.14x = 13,702.26 × 6,022.73
  4. Step 4: Simplify right side
    9,152.14x = 82,525,012.37
  5. Step 5: Solve for x
    x = 82,525,012.37/9,152.14
  6. Step 6: Final answer
    x = 9,017.02

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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.