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Finding the Fourth Proportional to 9,185.78, 12,677.36 and 5,206.46

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Solution

The fourth proportional to 9,185.78, 12,677.36 and 5,206.46 is: 7,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.78 : 12,677.36 = 5,206.46 : x
  2. Step 2: Convert to fraction form
    9,185.78/12,677.36 = 5,206.46/x
  3. Step 3: Cross multiply
    9,185.78x = 12,677.36 × 5,206.46
  4. Step 4: Simplify right side
    9,185.78x = 66,004,212.46
  5. Step 5: Solve for x
    x = 66,004,212.46/9,185.78
  6. Step 6: Final answer
    x = 7,185.48

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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.