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Finding the Fourth Proportional to 9,702.64, 14,551.62 and 2,682.49

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Solution

The fourth proportional to 9,702.64, 14,551.62 and 2,682.49 is: 4,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.64 : 14,551.62 = 2,682.49 : x
  2. Step 2: Convert to fraction form
    9,702.64/14,551.62 = 2,682.49/x
  3. Step 3: Cross multiply
    9,702.64x = 14,551.62 × 2,682.49
  4. Step 4: Simplify right side
    9,702.64x = 39,034,619.54
  5. Step 5: Solve for x
    x = 39,034,619.54/9,702.64
  6. Step 6: Final answer
    x = 4,023.09

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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.