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Finding the Fourth Proportional to 9,146.56, 13,702.56 and 4,515.52

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Solution

The fourth proportional to 9,146.56, 13,702.56 and 4,515.52 is: 6,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.56 : 13,702.56 = 4,515.52 : x
  2. Step 2: Convert to fraction form
    9,146.56/13,702.56 = 4,515.52/x
  3. Step 3: Cross multiply
    9,146.56x = 13,702.56 × 4,515.52
  4. Step 4: Simplify right side
    9,146.56x = 61,874,183.73
  5. Step 5: Solve for x
    x = 61,874,183.73/9,146.56
  6. Step 6: Final answer
    x = 6,764.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.