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Finding the Fourth Proportional to 6,762.18, 9,332.09 and 3,778

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Solution

The fourth proportional to 6,762.18, 9,332.09 and 3,778 is: 5,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.18 : 9,332.09 = 3,778 : x
  2. Step 2: Convert to fraction form
    6,762.18/9,332.09 = 3,778/x
  3. Step 3: Cross multiply
    6,762.18x = 9,332.09 × 3,778
  4. Step 4: Simplify right side
    6,762.18x = 35,256,636.02
  5. Step 5: Solve for x
    x = 35,256,636.02/6,762.18
  6. Step 6: Final answer
    x = 5,213.80

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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.