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Finding the Fourth Proportional to 9,276.35, 12,801.42 and 5,188.17

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Solution

The fourth proportional to 9,276.35, 12,801.42 and 5,188.17 is: 7,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.35 : 12,801.42 = 5,188.17 : x
  2. Step 2: Convert to fraction form
    9,276.35/12,801.42 = 5,188.17/x
  3. Step 3: Cross multiply
    9,276.35x = 12,801.42 × 5,188.17
  4. Step 4: Simplify right side
    9,276.35x = 66,415,943.20
  5. Step 5: Solve for x
    x = 66,415,943.20/9,276.35
  6. Step 6: Final answer
    x = 7,159.71

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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.