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Finding the Fourth Proportional to 9,494.64, 13,100.60 and 5,513.69

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Solution

The fourth proportional to 9,494.64, 13,100.60 and 5,513.69 is: 7,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.64 : 13,100.60 = 5,513.69 : x
  2. Step 2: Convert to fraction form
    9,494.64/13,100.60 = 5,513.69/x
  3. Step 3: Cross multiply
    9,494.64x = 13,100.60 × 5,513.69
  4. Step 4: Simplify right side
    9,494.64x = 72,232,647.21
  5. Step 5: Solve for x
    x = 72,232,647.21/9,494.64
  6. Step 6: Final answer
    x = 7,607.73

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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.