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Finding the Fourth Proportional to 6,929.76, 9,563.04 and 3,786

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Solution

The fourth proportional to 6,929.76, 9,563.04 and 3,786 is: 5,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.76 : 9,563.04 = 3,786 : x
  2. Step 2: Convert to fraction form
    6,929.76/9,563.04 = 3,786/x
  3. Step 3: Cross multiply
    6,929.76x = 9,563.04 × 3,786
  4. Step 4: Simplify right side
    6,929.76x = 36,205,669.44
  5. Step 5: Solve for x
    x = 36,205,669.44/6,929.76
  6. Step 6: Final answer
    x = 5,224.66

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