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Finding the Fourth Proportional to 9,675.23, 13,350.83 and 5,696.10

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Solution

The fourth proportional to 9,675.23, 13,350.83 and 5,696.10 is: 7,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.23 : 13,350.83 = 5,696.10 : x
  2. Step 2: Convert to fraction form
    9,675.23/13,350.83 = 5,696.10/x
  3. Step 3: Cross multiply
    9,675.23x = 13,350.83 × 5,696.10
  4. Step 4: Simplify right side
    9,675.23x = 76,047,634.28
  5. Step 5: Solve for x
    x = 76,047,634.28/9,675.23
  6. Step 6: Final answer
    x = 7,860.04

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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.