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Finding the Fourth Proportional to 9,516.79, 14,276.13 and 3,275.97

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Solution

The fourth proportional to 9,516.79, 14,276.13 and 3,275.97 is: 4,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.79 : 14,276.13 = 3,275.97 : x
  2. Step 2: Convert to fraction form
    9,516.79/14,276.13 = 3,275.97/x
  3. Step 3: Cross multiply
    9,516.79x = 14,276.13 × 3,275.97
  4. Step 4: Simplify right side
    9,516.79x = 46,768,197.29
  5. Step 5: Solve for x
    x = 46,768,197.29/9,516.79
  6. Step 6: Final answer
    x = 4,914.29

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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.