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Finding the Fourth Proportional to 9,114.14, 13,673.03 and 3,271.20

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Solution

The fourth proportional to 9,114.14, 13,673.03 and 3,271.20 is: 4,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.14 : 13,673.03 = 3,271.20 : x
  2. Step 2: Convert to fraction form
    9,114.14/13,673.03 = 3,271.20/x
  3. Step 3: Cross multiply
    9,114.14x = 13,673.03 × 3,271.20
  4. Step 4: Simplify right side
    9,114.14x = 44,727,199.38
  5. Step 5: Solve for x
    x = 44,727,199.38/9,114.14
  6. Step 6: Final answer
    x = 4,907.45

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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.