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Finding the Fourth Proportional to 9,790.80, 13,499.88 and 7,139.36

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Solution

The fourth proportional to 9,790.80, 13,499.88 and 7,139.36 is: 9,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.80 : 13,499.88 = 7,139.36 : x
  2. Step 2: Convert to fraction form
    9,790.80/13,499.88 = 7,139.36/x
  3. Step 3: Cross multiply
    9,790.80x = 13,499.88 × 7,139.36
  4. Step 4: Simplify right side
    9,790.80x = 96,380,503.28
  5. Step 5: Solve for x
    x = 96,380,503.28/9,790.80
  6. Step 6: Final answer
    x = 9,843.99

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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.