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Finding the Fourth Proportional to 9,407.14, 14,105.31 and 2,831.38

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Solution

The fourth proportional to 9,407.14, 14,105.31 and 2,831.38 is: 4,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.14 : 14,105.31 = 2,831.38 : x
  2. Step 2: Convert to fraction form
    9,407.14/14,105.31 = 2,831.38/x
  3. Step 3: Cross multiply
    9,407.14x = 14,105.31 × 2,831.38
  4. Step 4: Simplify right side
    9,407.14x = 39,937,492.63
  5. Step 5: Solve for x
    x = 39,937,492.63/9,407.14
  6. Step 6: Final answer
    x = 4,245.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.