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Finding the Fourth Proportional to 9,355, 14,029.14 and 4,159.48

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Solution

The fourth proportional to 9,355, 14,029.14 and 4,159.48 is: 6,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355 : 14,029.14 = 4,159.48 : x
  2. Step 2: Convert to fraction form
    9,355/14,029.14 = 4,159.48/x
  3. Step 3: Cross multiply
    9,355x = 14,029.14 × 4,159.48
  4. Step 4: Simplify right side
    9,355x = 58,353,927.25
  5. Step 5: Solve for x
    x = 58,353,927.25/9,355
  6. Step 6: Final answer
    x = 6,237.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.