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Finding the Fourth Proportional to 10,614.72, 14,634.54 and 6,831.12

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Solution

The fourth proportional to 10,614.72, 14,634.54 and 6,831.12 is: 9,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.72 : 14,634.54 = 6,831.12 : x
  2. Step 2: Convert to fraction form
    10,614.72/14,634.54 = 6,831.12/x
  3. Step 3: Cross multiply
    10,614.72x = 14,634.54 × 6,831.12
  4. Step 4: Simplify right side
    10,614.72x = 99,970,298.88
  5. Step 5: Solve for x
    x = 99,970,298.88/10,614.72
  6. Step 6: Final answer
    x = 9,418.08

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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.