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Finding the Fourth Proportional to 9,331.74, 13,999.77 and 4,713.66

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Solution

The fourth proportional to 9,331.74, 13,999.77 and 4,713.66 is: 7,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.74 : 13,999.77 = 4,713.66 : x
  2. Step 2: Convert to fraction form
    9,331.74/13,999.77 = 4,713.66/x
  3. Step 3: Cross multiply
    9,331.74x = 13,999.77 × 4,713.66
  4. Step 4: Simplify right side
    9,331.74x = 65,990,155.86
  5. Step 5: Solve for x
    x = 65,990,155.86/9,331.74
  6. Step 6: Final answer
    x = 7,071.58

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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.