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Finding the Fourth Proportional to 9,613.22, 14,411.19 and 3,774.02

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Solution

The fourth proportional to 9,613.22, 14,411.19 and 3,774.02 is: 5,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.22 : 14,411.19 = 3,774.02 : x
  2. Step 2: Convert to fraction form
    9,613.22/14,411.19 = 3,774.02/x
  3. Step 3: Cross multiply
    9,613.22x = 14,411.19 × 3,774.02
  4. Step 4: Simplify right side
    9,613.22x = 54,388,119.28
  5. Step 5: Solve for x
    x = 54,388,119.28/9,613.22
  6. Step 6: Final answer
    x = 5,657.64

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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.