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Finding the Fourth Proportional to 6,144.06, 9,216.16 and 1,527.06

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Solution

The fourth proportional to 6,144.06, 9,216.16 and 1,527.06 is: 2,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.06 : 9,216.16 = 1,527.06 : x
  2. Step 2: Convert to fraction form
    6,144.06/9,216.16 = 1,527.06/x
  3. Step 3: Cross multiply
    6,144.06x = 9,216.16 × 1,527.06
  4. Step 4: Simplify right side
    6,144.06x = 14,073,629.29
  5. Step 5: Solve for x
    x = 14,073,629.29/6,144.06
  6. Step 6: Final answer
    x = 2,290.61

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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.