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Finding the Fourth Proportional to 9,892.11, 14,829.83 and 6,764.46

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Solution

The fourth proportional to 9,892.11, 14,829.83 and 6,764.46 is: 10,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.11 : 14,829.83 = 6,764.46 : x
  2. Step 2: Convert to fraction form
    9,892.11/14,829.83 = 6,764.46/x
  3. Step 3: Cross multiply
    9,892.11x = 14,829.83 × 6,764.46
  4. Step 4: Simplify right side
    9,892.11x = 100,315,849.24
  5. Step 5: Solve for x
    x = 100,315,849.24/9,892.11
  6. Step 6: Final answer
    x = 10,141.00

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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.