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Finding the Fourth Proportional to 9,086.64, 13,626.42 and 3,539.22

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Solution

The fourth proportional to 9,086.64, 13,626.42 and 3,539.22 is: 5,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.64 : 13,626.42 = 3,539.22 : x
  2. Step 2: Convert to fraction form
    9,086.64/13,626.42 = 3,539.22/x
  3. Step 3: Cross multiply
    9,086.64x = 13,626.42 × 3,539.22
  4. Step 4: Simplify right side
    9,086.64x = 48,226,898.19
  5. Step 5: Solve for x
    x = 48,226,898.19/9,086.64
  6. Step 6: Final answer
    x = 5,307.45

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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.