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Finding the Fourth Proportional to 9,115.78, 13,665.45 and 3,271.02

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Solution

The fourth proportional to 9,115.78, 13,665.45 and 3,271.02 is: 4,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.78 : 13,665.45 = 3,271.02 : x
  2. Step 2: Convert to fraction form
    9,115.78/13,665.45 = 3,271.02/x
  3. Step 3: Cross multiply
    9,115.78x = 13,665.45 × 3,271.02
  4. Step 4: Simplify right side
    9,115.78x = 44,699,960.26
  5. Step 5: Solve for x
    x = 44,699,960.26/9,115.78
  6. Step 6: Final answer
    x = 4,903.58

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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.