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Finding the Fourth Proportional to 9,074.99, 13,614.43 and 3,152.06

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Solution

The fourth proportional to 9,074.99, 13,614.43 and 3,152.06 is: 4,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.99 : 13,614.43 = 3,152.06 : x
  2. Step 2: Convert to fraction form
    9,074.99/13,614.43 = 3,152.06/x
  3. Step 3: Cross multiply
    9,074.99x = 13,614.43 × 3,152.06
  4. Step 4: Simplify right side
    9,074.99x = 42,913,500.23
  5. Step 5: Solve for x
    x = 42,913,500.23/9,074.99
  6. Step 6: Final answer
    x = 4,728.77

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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.