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Finding the Fourth Proportional to 9,164.88, 13,743.80 and 3,320.08

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Solution

The fourth proportional to 9,164.88, 13,743.80 and 3,320.08 is: 4,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.88 : 13,743.80 = 3,320.08 : x
  2. Step 2: Convert to fraction form
    9,164.88/13,743.80 = 3,320.08/x
  3. Step 3: Cross multiply
    9,164.88x = 13,743.80 × 3,320.08
  4. Step 4: Simplify right side
    9,164.88x = 45,630,515.50
  5. Step 5: Solve for x
    x = 45,630,515.50/9,164.88
  6. Step 6: Final answer
    x = 4,978.84

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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.