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Finding the Fourth Proportional to 9,153.68, 12,622.64 and 7,831.76

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Solution

The fourth proportional to 9,153.68, 12,622.64 and 7,831.76 is: 10,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.68 : 12,622.64 = 7,831.76 : x
  2. Step 2: Convert to fraction form
    9,153.68/12,622.64 = 7,831.76/x
  3. Step 3: Cross multiply
    9,153.68x = 12,622.64 × 7,831.76
  4. Step 4: Simplify right side
    9,153.68x = 98,857,487.05
  5. Step 5: Solve for x
    x = 98,857,487.05/9,153.68
  6. Step 6: Final answer
    x = 10,799.75

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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.