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Finding the Fourth Proportional to 6,877.77, 9,491.30 and 3,733.95

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Solution

The fourth proportional to 6,877.77, 9,491.30 and 3,733.95 is: 5,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.77 : 9,491.30 = 3,733.95 : x
  2. Step 2: Convert to fraction form
    6,877.77/9,491.30 = 3,733.95/x
  3. Step 3: Cross multiply
    6,877.77x = 9,491.30 × 3,733.95
  4. Step 4: Simplify right side
    6,877.77x = 35,440,039.64
  5. Step 5: Solve for x
    x = 35,440,039.64/6,877.77
  6. Step 6: Final answer
    x = 5,152.84

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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.