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Finding the Fourth Proportional to 9,967.54, 14,944.38 and 4,417.84

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Solution

The fourth proportional to 9,967.54, 14,944.38 and 4,417.84 is: 6,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.54 : 14,944.38 = 4,417.84 : x
  2. Step 2: Convert to fraction form
    9,967.54/14,944.38 = 4,417.84/x
  3. Step 3: Cross multiply
    9,967.54x = 14,944.38 × 4,417.84
  4. Step 4: Simplify right side
    9,967.54x = 66,021,879.74
  5. Step 5: Solve for x
    x = 66,021,879.74/9,967.54
  6. Step 6: Final answer
    x = 6,623.69

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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.