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Finding the Fourth Proportional to 6,144.93, 9,217.22 and 1,527.93

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Solution

The fourth proportional to 6,144.93, 9,217.22 and 1,527.93 is: 2,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.93 : 9,217.22 = 1,527.93 : x
  2. Step 2: Convert to fraction form
    6,144.93/9,217.22 = 1,527.93/x
  3. Step 3: Cross multiply
    6,144.93x = 9,217.22 × 1,527.93
  4. Step 4: Simplify right side
    6,144.93x = 14,083,259.31
  5. Step 5: Solve for x
    x = 14,083,259.31/6,144.93
  6. Step 6: Final answer
    x = 2,291.85

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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.