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Finding the Fourth Proportional to 9,205.04, 12,702.52 and 5,225.61

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Solution

The fourth proportional to 9,205.04, 12,702.52 and 5,225.61 is: 7,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.04 : 12,702.52 = 5,225.61 : x
  2. Step 2: Convert to fraction form
    9,205.04/12,702.52 = 5,225.61/x
  3. Step 3: Cross multiply
    9,205.04x = 12,702.52 × 5,225.61
  4. Step 4: Simplify right side
    9,205.04x = 66,378,469.70
  5. Step 5: Solve for x
    x = 66,378,469.70/9,205.04
  6. Step 6: Final answer
    x = 7,211.10

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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.