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Finding the Fourth Proportional to 9,291.38, 13,937.08 and 2,271.38

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Solution

The fourth proportional to 9,291.38, 13,937.08 and 2,271.38 is: 3,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.38 : 13,937.08 = 2,271.38 : x
  2. Step 2: Convert to fraction form
    9,291.38/13,937.08 = 2,271.38/x
  3. Step 3: Cross multiply
    9,291.38x = 13,937.08 × 2,271.38
  4. Step 4: Simplify right side
    9,291.38x = 31,656,404.77
  5. Step 5: Solve for x
    x = 31,656,404.77/9,291.38
  6. Step 6: Final answer
    x = 3,407.07

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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.