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Finding the Fourth Proportional to 9,275.64, 12,800.30 and 5,296.52

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Solution

The fourth proportional to 9,275.64, 12,800.30 and 5,296.52 is: 7,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.64 : 12,800.30 = 5,296.52 : x
  2. Step 2: Convert to fraction form
    9,275.64/12,800.30 = 5,296.52/x
  3. Step 3: Cross multiply
    9,275.64x = 12,800.30 × 5,296.52
  4. Step 4: Simplify right side
    9,275.64x = 67,796,954.47
  5. Step 5: Solve for x
    x = 67,796,954.47/9,275.64
  6. Step 6: Final answer
    x = 7,309.14

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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.