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Finding the Fourth Proportional to 9,188.64, 13,781.07 and 2,613.06

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Solution

The fourth proportional to 9,188.64, 13,781.07 and 2,613.06 is: 3,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.64 : 13,781.07 = 2,613.06 : x
  2. Step 2: Convert to fraction form
    9,188.64/13,781.07 = 2,613.06/x
  3. Step 3: Cross multiply
    9,188.64x = 13,781.07 × 2,613.06
  4. Step 4: Simplify right side
    9,188.64x = 36,010,762.77
  5. Step 5: Solve for x
    x = 36,010,762.77/9,188.64
  6. Step 6: Final answer
    x = 3,919.05

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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.