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Finding the Fourth Proportional to 9,352.33, 14,023.80 and 3,110.14

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Solution

The fourth proportional to 9,352.33, 14,023.80 and 3,110.14 is: 4,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.33 : 14,023.80 = 3,110.14 : x
  2. Step 2: Convert to fraction form
    9,352.33/14,023.80 = 3,110.14/x
  3. Step 3: Cross multiply
    9,352.33x = 14,023.80 × 3,110.14
  4. Step 4: Simplify right side
    9,352.33x = 43,615,998.86
  5. Step 5: Solve for x
    x = 43,615,998.86/9,352.33
  6. Step 6: Final answer
    x = 4,663.65

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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.