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Finding the Fourth Proportional to 9,785.60, 13,503.12 and 5,806.88

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Solution

The fourth proportional to 9,785.60, 13,503.12 and 5,806.88 is: 8,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.60 : 13,503.12 = 5,806.88 : x
  2. Step 2: Convert to fraction form
    9,785.60/13,503.12 = 5,806.88/x
  3. Step 3: Cross multiply
    9,785.60x = 13,503.12 × 5,806.88
  4. Step 4: Simplify right side
    9,785.60x = 78,410,997.47
  5. Step 5: Solve for x
    x = 78,410,997.47/9,785.60
  6. Step 6: Final answer
    x = 8,012.90

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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.