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Finding the Fourth Proportional to 9,118.08, 13,682.88 and 3,576

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Solution

The fourth proportional to 9,118.08, 13,682.88 and 3,576 is: 5,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.08 : 13,682.88 = 3,576 : x
  2. Step 2: Convert to fraction form
    9,118.08/13,682.88 = 3,576/x
  3. Step 3: Cross multiply
    9,118.08x = 13,682.88 × 3,576
  4. Step 4: Simplify right side
    9,118.08x = 48,929,978.88
  5. Step 5: Solve for x
    x = 48,929,978.88/9,118.08
  6. Step 6: Final answer
    x = 5,366.26

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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.