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Finding the Fourth Proportional to 9,494.87, 13,100.68 and 5,513.62

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Solution

The fourth proportional to 9,494.87, 13,100.68 and 5,513.62 is: 7,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.87 : 13,100.68 = 5,513.62 : x
  2. Step 2: Convert to fraction form
    9,494.87/13,100.68 = 5,513.62/x
  3. Step 3: Cross multiply
    9,494.87x = 13,100.68 × 5,513.62
  4. Step 4: Simplify right side
    9,494.87x = 72,232,124.73
  5. Step 5: Solve for x
    x = 72,232,124.73/9,494.87
  6. Step 6: Final answer
    x = 7,607.49

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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.