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Finding the Fourth Proportional to 9,739.69, 14,600.35 and 4,738.91

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Solution

The fourth proportional to 9,739.69, 14,600.35 and 4,738.91 is: 7,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.69 : 14,600.35 = 4,738.91 : x
  2. Step 2: Convert to fraction form
    9,739.69/14,600.35 = 4,738.91/x
  3. Step 3: Cross multiply
    9,739.69x = 14,600.35 × 4,738.91
  4. Step 4: Simplify right side
    9,739.69x = 69,189,677.54
  5. Step 5: Solve for x
    x = 69,189,677.54/9,739.69
  6. Step 6: Final answer
    x = 7,103.89

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