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Finding the Fourth Proportional to 9,382.26, 12,946.38 and 5,404.66

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Solution

The fourth proportional to 9,382.26, 12,946.38 and 5,404.66 is: 7,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.26 : 12,946.38 = 5,404.66 : x
  2. Step 2: Convert to fraction form
    9,382.26/12,946.38 = 5,404.66/x
  3. Step 3: Cross multiply
    9,382.26x = 12,946.38 × 5,404.66
  4. Step 4: Simplify right side
    9,382.26x = 69,970,782.13
  5. Step 5: Solve for x
    x = 69,970,782.13/9,382.26
  6. Step 6: Final answer
    x = 7,457.77

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Why These Related Problems?

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