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Finding the Fourth Proportional to 9,074.37, 13,608.06 and 3,527

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Solution

The fourth proportional to 9,074.37, 13,608.06 and 3,527 is: 5,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.37 : 13,608.06 = 3,527 : x
  2. Step 2: Convert to fraction form
    9,074.37/13,608.06 = 3,527/x
  3. Step 3: Cross multiply
    9,074.37x = 13,608.06 × 3,527
  4. Step 4: Simplify right side
    9,074.37x = 47,995,627.62
  5. Step 5: Solve for x
    x = 47,995,627.62/9,074.37
  6. Step 6: Final answer
    x = 5,289.14

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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.