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Finding the Fourth Proportional to 6,509.63, 9,766.10 and 1,892.63

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Solution

The fourth proportional to 6,509.63, 9,766.10 and 1,892.63 is: 2,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.63 : 9,766.10 = 1,892.63 : x
  2. Step 2: Convert to fraction form
    6,509.63/9,766.10 = 1,892.63/x
  3. Step 3: Cross multiply
    6,509.63x = 9,766.10 × 1,892.63
  4. Step 4: Simplify right side
    6,509.63x = 18,483,569.74
  5. Step 5: Solve for x
    x = 18,483,569.74/6,509.63
  6. Step 6: Final answer
    x = 2,839.42

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