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Finding the Fourth Proportional to 6,386.74, 9,576.64 and 2,225.63

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Solution

The fourth proportional to 6,386.74, 9,576.64 and 2,225.63 is: 3,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.74 : 9,576.64 = 2,225.63 : x
  2. Step 2: Convert to fraction form
    6,386.74/9,576.64 = 2,225.63/x
  3. Step 3: Cross multiply
    6,386.74x = 9,576.64 × 2,225.63
  4. Step 4: Simplify right side
    6,386.74x = 21,314,086.83
  5. Step 5: Solve for x
    x = 21,314,086.83/6,386.74
  6. Step 6: Final answer
    x = 3,337.24

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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.