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Finding the Fourth Proportional to 9,191.60, 13,782.36 and 3,644.72

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Solution

The fourth proportional to 9,191.60, 13,782.36 and 3,644.72 is: 5,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.60 : 13,782.36 = 3,644.72 : x
  2. Step 2: Convert to fraction form
    9,191.60/13,782.36 = 3,644.72/x
  3. Step 3: Cross multiply
    9,191.60x = 13,782.36 × 3,644.72
  4. Step 4: Simplify right side
    9,191.60x = 50,232,843.14
  5. Step 5: Solve for x
    x = 50,232,843.14/9,191.60
  6. Step 6: Final answer
    x = 5,465.08

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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.