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Finding the Fourth Proportional to 9,145.36, 13,684.02 and 5,449.60

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Solution

The fourth proportional to 9,145.36, 13,684.02 and 5,449.60 is: 8,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.36 : 13,684.02 = 5,449.60 : x
  2. Step 2: Convert to fraction form
    9,145.36/13,684.02 = 5,449.60/x
  3. Step 3: Cross multiply
    9,145.36x = 13,684.02 × 5,449.60
  4. Step 4: Simplify right side
    9,145.36x = 74,572,435.39
  5. Step 5: Solve for x
    x = 74,572,435.39/9,145.36
  6. Step 6: Final answer
    x = 8,154.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.