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Finding the Fourth Proportional to 9,171.63, 13,735.58 and 5,005.40

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Solution

The fourth proportional to 9,171.63, 13,735.58 and 5,005.40 is: 7,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.63 : 13,735.58 = 5,005.40 : x
  2. Step 2: Convert to fraction form
    9,171.63/13,735.58 = 5,005.40/x
  3. Step 3: Cross multiply
    9,171.63x = 13,735.58 × 5,005.40
  4. Step 4: Simplify right side
    9,171.63x = 68,751,978.43
  5. Step 5: Solve for x
    x = 68,751,978.43/9,171.63
  6. Step 6: Final answer
    x = 7,496.16

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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.