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Finding the Fourth Proportional to 9,152.01, 13,702.07 and 6,022.61

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Solution

The fourth proportional to 9,152.01, 13,702.07 and 6,022.61 is: 9,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.01 : 13,702.07 = 6,022.61 : x
  2. Step 2: Convert to fraction form
    9,152.01/13,702.07 = 6,022.61/x
  3. Step 3: Cross multiply
    9,152.01x = 13,702.07 × 6,022.61
  4. Step 4: Simplify right side
    9,152.01x = 82,522,170.35
  5. Step 5: Solve for x
    x = 82,522,170.35/9,152.01
  6. Step 6: Final answer
    x = 9,016.84

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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.