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Finding the Fourth Proportional to 9,741.45, 14,618.64 and 3,585.45

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Solution

The fourth proportional to 9,741.45, 14,618.64 and 3,585.45 is: 5,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.45 : 14,618.64 = 3,585.45 : x
  2. Step 2: Convert to fraction form
    9,741.45/14,618.64 = 3,585.45/x
  3. Step 3: Cross multiply
    9,741.45x = 14,618.64 × 3,585.45
  4. Step 4: Simplify right side
    9,741.45x = 52,414,329.69
  5. Step 5: Solve for x
    x = 52,414,329.69/9,741.45
  6. Step 6: Final answer
    x = 5,380.55

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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.