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Finding the Fourth Proportional to 9,185.54, 12,675.30 and 5,207.28

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Solution

The fourth proportional to 9,185.54, 12,675.30 and 5,207.28 is: 7,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.54 : 12,675.30 = 5,207.28 : x
  2. Step 2: Convert to fraction form
    9,185.54/12,675.30 = 5,207.28/x
  3. Step 3: Cross multiply
    9,185.54x = 12,675.30 × 5,207.28
  4. Step 4: Simplify right side
    9,185.54x = 66,003,836.18
  5. Step 5: Solve for x
    x = 66,003,836.18/9,185.54
  6. Step 6: Final answer
    x = 7,185.62

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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.