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Finding the Fourth Proportional to 9,516.84, 14,275.14 and 4,250.49

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Solution

The fourth proportional to 9,516.84, 14,275.14 and 4,250.49 is: 6,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.84 : 14,275.14 = 4,250.49 : x
  2. Step 2: Convert to fraction form
    9,516.84/14,275.14 = 4,250.49/x
  3. Step 3: Cross multiply
    9,516.84x = 14,275.14 × 4,250.49
  4. Step 4: Simplify right side
    9,516.84x = 60,676,339.82
  5. Step 5: Solve for x
    x = 60,676,339.82/9,516.84
  6. Step 6: Final answer
    x = 6,375.68

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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.