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Finding the Fourth Proportional to 9,205.02, 12,696.48 and 5,670.18

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Solution

The fourth proportional to 9,205.02, 12,696.48 and 5,670.18 is: 7,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.02 : 12,696.48 = 5,670.18 : x
  2. Step 2: Convert to fraction form
    9,205.02/12,696.48 = 5,670.18/x
  3. Step 3: Cross multiply
    9,205.02x = 12,696.48 × 5,670.18
  4. Step 4: Simplify right side
    9,205.02x = 71,991,326.97
  5. Step 5: Solve for x
    x = 71,991,326.97/9,205.02
  6. Step 6: Final answer
    x = 7,820.88

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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.