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Finding the Fourth Proportional to 6,947.69, 9,586.26 and 4,113.63

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Solution

The fourth proportional to 6,947.69, 9,586.26 and 4,113.63 is: 5,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.69 : 9,586.26 = 4,113.63 : x
  2. Step 2: Convert to fraction form
    6,947.69/9,586.26 = 4,113.63/x
  3. Step 3: Cross multiply
    6,947.69x = 9,586.26 × 4,113.63
  4. Step 4: Simplify right side
    6,947.69x = 39,434,326.72
  5. Step 5: Solve for x
    x = 39,434,326.72/6,947.69
  6. Step 6: Final answer
    x = 5,675.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.