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Finding the Fourth Proportional to 9,276, 12,801.60 and 5,296.20

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Solution

The fourth proportional to 9,276, 12,801.60 and 5,296.20 is: 7,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276 : 12,801.60 = 5,296.20 : x
  2. Step 2: Convert to fraction form
    9,276/12,801.60 = 5,296.20/x
  3. Step 3: Cross multiply
    9,276x = 12,801.60 × 5,296.20
  4. Step 4: Simplify right side
    9,276x = 67,799,833.92
  5. Step 5: Solve for x
    x = 67,799,833.92/9,276
  6. Step 6: Final answer
    x = 7,309.17

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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.