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Finding the Fourth Proportional to 9,610.40, 14,346.10 and 8,444

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Solution

The fourth proportional to 9,610.40, 14,346.10 and 8,444 is: 12,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.40 : 14,346.10 = 8,444 : x
  2. Step 2: Convert to fraction form
    9,610.40/14,346.10 = 8,444/x
  3. Step 3: Cross multiply
    9,610.40x = 14,346.10 × 8,444
  4. Step 4: Simplify right side
    9,610.40x = 121,138,468.40
  5. Step 5: Solve for x
    x = 121,138,468.40/9,610.40
  6. Step 6: Final answer
    x = 12,604.94

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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.