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Finding the Fourth Proportional to 9,276.75, 12,801.95 and 5,027.88

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Solution

The fourth proportional to 9,276.75, 12,801.95 and 5,027.88 is: 6,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.75 : 12,801.95 = 5,027.88 : x
  2. Step 2: Convert to fraction form
    9,276.75/12,801.95 = 5,027.88/x
  3. Step 3: Cross multiply
    9,276.75x = 12,801.95 × 5,027.88
  4. Step 4: Simplify right side
    9,276.75x = 64,366,643.23
  5. Step 5: Solve for x
    x = 64,366,643.23/9,276.75
  6. Step 6: Final answer
    x = 6,938.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.