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Finding the Fourth Proportional to 6,144.64, 9,216.97 and 1,527.64

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Solution

The fourth proportional to 6,144.64, 9,216.97 and 1,527.64 is: 2,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.64 : 9,216.97 = 1,527.64 : x
  2. Step 2: Convert to fraction form
    6,144.64/9,216.97 = 1,527.64/x
  3. Step 3: Cross multiply
    6,144.64x = 9,216.97 × 1,527.64
  4. Step 4: Simplify right side
    6,144.64x = 14,080,204.41
  5. Step 5: Solve for x
    x = 14,080,204.41/6,144.64
  6. Step 6: Final answer
    x = 2,291.46

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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.