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Finding the Fourth Proportional to 12,802, 17,666.76 and 6,914

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Solution

The fourth proportional to 12,802, 17,666.76 and 6,914 is: 9,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 17,666.76 = 6,914 : x
  2. Step 2: Convert to fraction form
    12,802/17,666.76 = 6,914/x
  3. Step 3: Cross multiply
    12,802x = 17,666.76 × 6,914
  4. Step 4: Simplify right side
    12,802x = 122,147,978.64
  5. Step 5: Solve for x
    x = 122,147,978.64/12,802
  6. Step 6: Final answer
    x = 9,541.32

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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.