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Finding the Fourth Proportional to 9,798.10, 13,520.83 and 5,764.30

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Solution

The fourth proportional to 9,798.10, 13,520.83 and 5,764.30 is: 7,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.10 : 13,520.83 = 5,764.30 : x
  2. Step 2: Convert to fraction form
    9,798.10/13,520.83 = 5,764.30/x
  3. Step 3: Cross multiply
    9,798.10x = 13,520.83 × 5,764.30
  4. Step 4: Simplify right side
    9,798.10x = 77,938,120.37
  5. Step 5: Solve for x
    x = 77,938,120.37/9,798.10
  6. Step 6: Final answer
    x = 7,954.41

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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.