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Finding the Fourth Proportional to 9,749.69, 14,626.97 and 5,594.39

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Solution

The fourth proportional to 9,749.69, 14,626.97 and 5,594.39 is: 8,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.69 : 14,626.97 = 5,594.39 : x
  2. Step 2: Convert to fraction form
    9,749.69/14,626.97 = 5,594.39/x
  3. Step 3: Cross multiply
    9,749.69x = 14,626.97 × 5,594.39
  4. Step 4: Simplify right side
    9,749.69x = 81,828,901.56
  5. Step 5: Solve for x
    x = 81,828,901.56/9,749.69
  6. Step 6: Final answer
    x = 8,392.98

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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.