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Finding the Fourth Proportional to 9,352.80, 13,999.77 and 5,129.82

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Solution

The fourth proportional to 9,352.80, 13,999.77 and 5,129.82 is: 7,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.80 : 13,999.77 = 5,129.82 : x
  2. Step 2: Convert to fraction form
    9,352.80/13,999.77 = 5,129.82/x
  3. Step 3: Cross multiply
    9,352.80x = 13,999.77 × 5,129.82
  4. Step 4: Simplify right side
    9,352.80x = 71,816,300.14
  5. Step 5: Solve for x
    x = 71,816,300.14/9,352.80
  6. Step 6: Final answer
    x = 7,678.59

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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.