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Finding the Fourth Proportional to 9,685.08, 13,366.62 and 5,494.68

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Solution

The fourth proportional to 9,685.08, 13,366.62 and 5,494.68 is: 7,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.08 : 13,366.62 = 5,494.68 : x
  2. Step 2: Convert to fraction form
    9,685.08/13,366.62 = 5,494.68/x
  3. Step 3: Cross multiply
    9,685.08x = 13,366.62 × 5,494.68
  4. Step 4: Simplify right side
    9,685.08x = 73,445,299.58
  5. Step 5: Solve for x
    x = 73,445,299.58/9,685.08
  6. Step 6: Final answer
    x = 7,583.34

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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.