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Finding the Fourth Proportional to 9,539.56, 13,164.78 and 5,348.08

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Solution

The fourth proportional to 9,539.56, 13,164.78 and 5,348.08 is: 7,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.56 : 13,164.78 = 5,348.08 : x
  2. Step 2: Convert to fraction form
    9,539.56/13,164.78 = 5,348.08/x
  3. Step 3: Cross multiply
    9,539.56x = 13,164.78 × 5,348.08
  4. Step 4: Simplify right side
    9,539.56x = 70,406,296.62
  5. Step 5: Solve for x
    x = 70,406,296.62/9,539.56
  6. Step 6: Final answer
    x = 7,380.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.