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Finding the Fourth Proportional to 9,347.67, 13,953.11 and 8,240.49

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Solution

The fourth proportional to 9,347.67, 13,953.11 and 8,240.49 is: 12,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.67 : 13,953.11 = 8,240.49 : x
  2. Step 2: Convert to fraction form
    9,347.67/13,953.11 = 8,240.49/x
  3. Step 3: Cross multiply
    9,347.67x = 13,953.11 × 8,240.49
  4. Step 4: Simplify right side
    9,347.67x = 114,980,422.22
  5. Step 5: Solve for x
    x = 114,980,422.22/9,347.67
  6. Step 6: Final answer
    x = 12,300.44

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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.