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Finding the Fourth Proportional to 8,642.69, 12,964.34 and 4,943.22

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Solution

The fourth proportional to 8,642.69, 12,964.34 and 4,943.22 is: 7,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.69 : 12,964.34 = 4,943.22 : x
  2. Step 2: Convert to fraction form
    8,642.69/12,964.34 = 4,943.22/x
  3. Step 3: Cross multiply
    8,642.69x = 12,964.34 × 4,943.22
  4. Step 4: Simplify right side
    8,642.69x = 64,085,584.77
  5. Step 5: Solve for x
    x = 64,085,584.77/8,642.69
  6. Step 6: Final answer
    x = 7,415.00

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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.