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Finding the Fourth Proportional to 9,574.26, 14,362.48 and 4,379.46

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Solution

The fourth proportional to 9,574.26, 14,362.48 and 4,379.46 is: 6,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.26 : 14,362.48 = 4,379.46 : x
  2. Step 2: Convert to fraction form
    9,574.26/14,362.48 = 4,379.46/x
  3. Step 3: Cross multiply
    9,574.26x = 14,362.48 × 4,379.46
  4. Step 4: Simplify right side
    9,574.26x = 62,899,906.66
  5. Step 5: Solve for x
    x = 62,899,906.66/9,574.26
  6. Step 6: Final answer
    x = 6,569.69

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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.