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Finding the Fourth Proportional to 9,184.84, 12,675.09 and 4,993.09

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Solution

The fourth proportional to 9,184.84, 12,675.09 and 4,993.09 is: 6,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.84 : 12,675.09 = 4,993.09 : x
  2. Step 2: Convert to fraction form
    9,184.84/12,675.09 = 4,993.09/x
  3. Step 3: Cross multiply
    9,184.84x = 12,675.09 × 4,993.09
  4. Step 4: Simplify right side
    9,184.84x = 63,287,865.13
  5. Step 5: Solve for x
    x = 63,287,865.13/9,184.84
  6. Step 6: Final answer
    x = 6,890.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.