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Finding the Fourth Proportional to 9,539.30, 14,308.80 and 2,613.80

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Solution

The fourth proportional to 9,539.30, 14,308.80 and 2,613.80 is: 3,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.30 : 14,308.80 = 2,613.80 : x
  2. Step 2: Convert to fraction form
    9,539.30/14,308.80 = 2,613.80/x
  3. Step 3: Cross multiply
    9,539.30x = 14,308.80 × 2,613.80
  4. Step 4: Simplify right side
    9,539.30x = 37,400,382.11
  5. Step 5: Solve for x
    x = 37,400,382.11/9,539.30
  6. Step 6: Final answer
    x = 3,920.66

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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.