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Finding the Fourth Proportional to 9,665.88, 14,466.42 and 7,118.88

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Solution

The fourth proportional to 9,665.88, 14,466.42 and 7,118.88 is: 10,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.88 : 14,466.42 = 7,118.88 : x
  2. Step 2: Convert to fraction form
    9,665.88/14,466.42 = 7,118.88/x
  3. Step 3: Cross multiply
    9,665.88x = 14,466.42 × 7,118.88
  4. Step 4: Simplify right side
    9,665.88x = 102,984,708.01
  5. Step 5: Solve for x
    x = 102,984,708.01/9,665.88
  6. Step 6: Final answer
    x = 10,654.46

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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.