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Finding the Fourth Proportional to 9,675.13, 13,352.93 and 5,696.61

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Solution

The fourth proportional to 9,675.13, 13,352.93 and 5,696.61 is: 7,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.13 : 13,352.93 = 5,696.61 : x
  2. Step 2: Convert to fraction form
    9,675.13/13,352.93 = 5,696.61/x
  3. Step 3: Cross multiply
    9,675.13x = 13,352.93 × 5,696.61
  4. Step 4: Simplify right side
    9,675.13x = 76,066,382.04
  5. Step 5: Solve for x
    x = 76,066,382.04/9,675.13
  6. Step 6: Final answer
    x = 7,862.06

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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.