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Finding the Fourth Proportional to 9,516.84, 14,271.72 and 3,275.10

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Solution

The fourth proportional to 9,516.84, 14,271.72 and 3,275.10 is: 4,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.84 : 14,271.72 = 3,275.10 : x
  2. Step 2: Convert to fraction form
    9,516.84/14,271.72 = 3,275.10/x
  3. Step 3: Cross multiply
    9,516.84x = 14,271.72 × 3,275.10
  4. Step 4: Simplify right side
    9,516.84x = 46,741,310.17
  5. Step 5: Solve for x
    x = 46,741,310.17/9,516.84
  6. Step 6: Final answer
    x = 4,911.43

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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.