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Finding the Fourth Proportional to 9,185.97, 12,676.32 and 5,206.98

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Solution

The fourth proportional to 9,185.97, 12,676.32 and 5,206.98 is: 7,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.97 : 12,676.32 = 5,206.98 : x
  2. Step 2: Convert to fraction form
    9,185.97/12,676.32 = 5,206.98/x
  3. Step 3: Cross multiply
    9,185.97x = 12,676.32 × 5,206.98
  4. Step 4: Simplify right side
    9,185.97x = 66,005,344.71
  5. Step 5: Solve for x
    x = 66,005,344.71/9,185.97
  6. Step 6: Final answer
    x = 7,185.45

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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.