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Finding the Fourth Proportional to 9,296.44, 12,831.30 and 5,319.84

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Solution

The fourth proportional to 9,296.44, 12,831.30 and 5,319.84 is: 7,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.44 : 12,831.30 = 5,319.84 : x
  2. Step 2: Convert to fraction form
    9,296.44/12,831.30 = 5,319.84/x
  3. Step 3: Cross multiply
    9,296.44x = 12,831.30 × 5,319.84
  4. Step 4: Simplify right side
    9,296.44x = 68,260,511.11
  5. Step 5: Solve for x
    x = 68,260,511.11/9,296.44
  6. Step 6: Final answer
    x = 7,342.65

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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.