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Finding the Fourth Proportional to 9,800.64, 14,702.40 and 3,227.52

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Solution

The fourth proportional to 9,800.64, 14,702.40 and 3,227.52 is: 4,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.64 : 14,702.40 = 3,227.52 : x
  2. Step 2: Convert to fraction form
    9,800.64/14,702.40 = 3,227.52/x
  3. Step 3: Cross multiply
    9,800.64x = 14,702.40 × 3,227.52
  4. Step 4: Simplify right side
    9,800.64x = 47,452,290.05
  5. Step 5: Solve for x
    x = 47,452,290.05/9,800.64
  6. Step 6: Final answer
    x = 4,841.75

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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.