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Finding the Fourth Proportional to 6,144.51, 9,216.63 and 2,681.76

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Solution

The fourth proportional to 6,144.51, 9,216.63 and 2,681.76 is: 4,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.51 : 9,216.63 = 2,681.76 : x
  2. Step 2: Convert to fraction form
    6,144.51/9,216.63 = 2,681.76/x
  3. Step 3: Cross multiply
    6,144.51x = 9,216.63 × 2,681.76
  4. Step 4: Simplify right side
    6,144.51x = 24,716,789.67
  5. Step 5: Solve for x
    x = 24,716,789.67/6,144.51
  6. Step 6: Final answer
    x = 4,022.58

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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.