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Finding the Fourth Proportional to 6,169.03, 9,232.01 and 5,045.46

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Solution

The fourth proportional to 6,169.03, 9,232.01 and 5,045.46 is: 7,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.03 : 9,232.01 = 5,045.46 : x
  2. Step 2: Convert to fraction form
    6,169.03/9,232.01 = 5,045.46/x
  3. Step 3: Cross multiply
    6,169.03x = 9,232.01 × 5,045.46
  4. Step 4: Simplify right side
    6,169.03x = 46,579,696.25
  5. Step 5: Solve for x
    x = 46,579,696.25/6,169.03
  6. Step 6: Final answer
    x = 7,550.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.