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Finding the Fourth Proportional to 9,666.18, 14,489.22 and 5,497.20

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Solution

The fourth proportional to 9,666.18, 14,489.22 and 5,497.20 is: 8,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.18 : 14,489.22 = 5,497.20 : x
  2. Step 2: Convert to fraction form
    9,666.18/14,489.22 = 5,497.20/x
  3. Step 3: Cross multiply
    9,666.18x = 14,489.22 × 5,497.20
  4. Step 4: Simplify right side
    9,666.18x = 79,650,140.18
  5. Step 5: Solve for x
    x = 79,650,140.18/9,666.18
  6. Step 6: Final answer
    x = 8,240.08

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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.