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Finding the Fourth Proportional to 9,486.56, 14,232.14 and 3,643.19

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Solution

The fourth proportional to 9,486.56, 14,232.14 and 3,643.19 is: 5,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.56 : 14,232.14 = 3,643.19 : x
  2. Step 2: Convert to fraction form
    9,486.56/14,232.14 = 3,643.19/x
  3. Step 3: Cross multiply
    9,486.56x = 14,232.14 × 3,643.19
  4. Step 4: Simplify right side
    9,486.56x = 51,850,367.78
  5. Step 5: Solve for x
    x = 51,850,367.78/9,486.56
  6. Step 6: Final answer
    x = 5,465.66

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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.