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Finding the Fourth Proportional to 9,452.94, 13,039.65 and 5,910

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Solution

The fourth proportional to 9,452.94, 13,039.65 and 5,910 is: 8,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.94 : 13,039.65 = 5,910 : x
  2. Step 2: Convert to fraction form
    9,452.94/13,039.65 = 5,910/x
  3. Step 3: Cross multiply
    9,452.94x = 13,039.65 × 5,910
  4. Step 4: Simplify right side
    9,452.94x = 77,064,331.50
  5. Step 5: Solve for x
    x = 77,064,331.50/9,452.94
  6. Step 6: Final answer
    x = 8,152.42

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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.