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Finding the Fourth Proportional to 6,665.80, 9,959.69 and 6,665.80

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Solution

The fourth proportional to 6,665.80, 9,959.69 and 6,665.80 is: 9,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.80 : 9,959.69 = 6,665.80 : x
  2. Step 2: Convert to fraction form
    6,665.80/9,959.69 = 6,665.80/x
  3. Step 3: Cross multiply
    6,665.80x = 9,959.69 × 6,665.80
  4. Step 4: Simplify right side
    6,665.80x = 66,389,301.60
  5. Step 5: Solve for x
    x = 66,389,301.60/6,665.80
  6. Step 6: Final answer
    x = 9,959.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.