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Finding the Fourth Proportional to 9,511.65, 14,198.74 and 8,345.25

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Solution

The fourth proportional to 9,511.65, 14,198.74 and 8,345.25 is: 12,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.65 : 14,198.74 = 8,345.25 : x
  2. Step 2: Convert to fraction form
    9,511.65/14,198.74 = 8,345.25/x
  3. Step 3: Cross multiply
    9,511.65x = 14,198.74 × 8,345.25
  4. Step 4: Simplify right side
    9,511.65x = 118,492,034.99
  5. Step 5: Solve for x
    x = 118,492,034.99/9,511.65
  6. Step 6: Final answer
    x = 12,457.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.