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Finding the Fourth Proportional to 9,205.53, 12,702.27 and 5,225.88

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Solution

The fourth proportional to 9,205.53, 12,702.27 and 5,225.88 is: 7,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.53 : 12,702.27 = 5,225.88 : x
  2. Step 2: Convert to fraction form
    9,205.53/12,702.27 = 5,225.88/x
  3. Step 3: Cross multiply
    9,205.53x = 12,702.27 × 5,225.88
  4. Step 4: Simplify right side
    9,205.53x = 66,380,538.75
  5. Step 5: Solve for x
    x = 66,380,538.75/9,205.53
  6. Step 6: Final answer
    x = 7,210.94

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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.