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Finding the Fourth Proportional to 9,788.12, 13,509.48 and 5,811.44

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Solution

The fourth proportional to 9,788.12, 13,509.48 and 5,811.44 is: 8,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.12 : 13,509.48 = 5,811.44 : x
  2. Step 2: Convert to fraction form
    9,788.12/13,509.48 = 5,811.44/x
  3. Step 3: Cross multiply
    9,788.12x = 13,509.48 × 5,811.44
  4. Step 4: Simplify right side
    9,788.12x = 78,509,532.45
  5. Step 5: Solve for x
    x = 78,509,532.45/9,788.12
  6. Step 6: Final answer
    x = 8,020.90

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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.