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Finding the Fourth Proportional to 9,753.37, 13,455.23 and 6,214.38

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Solution

The fourth proportional to 9,753.37, 13,455.23 and 6,214.38 is: 8,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.37 : 13,455.23 = 6,214.38 : x
  2. Step 2: Convert to fraction form
    9,753.37/13,455.23 = 6,214.38/x
  3. Step 3: Cross multiply
    9,753.37x = 13,455.23 × 6,214.38
  4. Step 4: Simplify right side
    9,753.37x = 83,615,865.63
  5. Step 5: Solve for x
    x = 83,615,865.63/9,753.37
  6. Step 6: Final answer
    x = 8,573.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.