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Finding the Fourth Proportional to 9,883.86, 13,639.77 and 5,407.62

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Solution

The fourth proportional to 9,883.86, 13,639.77 and 5,407.62 is: 7,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.86 : 13,639.77 = 5,407.62 : x
  2. Step 2: Convert to fraction form
    9,883.86/13,639.77 = 5,407.62/x
  3. Step 3: Cross multiply
    9,883.86x = 13,639.77 × 5,407.62
  4. Step 4: Simplify right side
    9,883.86x = 73,758,693.05
  5. Step 5: Solve for x
    x = 73,758,693.05/9,883.86
  6. Step 6: Final answer
    x = 7,462.54

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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.