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Finding the Fourth Proportional to 9,831.60, 13,564.26 and 6,296.94

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Solution

The fourth proportional to 9,831.60, 13,564.26 and 6,296.94 is: 8,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.60 : 13,564.26 = 6,296.94 : x
  2. Step 2: Convert to fraction form
    9,831.60/13,564.26 = 6,296.94/x
  3. Step 3: Cross multiply
    9,831.60x = 13,564.26 × 6,296.94
  4. Step 4: Simplify right side
    9,831.60x = 85,413,331.36
  5. Step 5: Solve for x
    x = 85,413,331.36/9,831.60
  6. Step 6: Final answer
    x = 8,687.63

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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.