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Finding the Fourth Proportional to 9,675.45, 13,353.36 and 5,696.93

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Solution

The fourth proportional to 9,675.45, 13,353.36 and 5,696.93 is: 7,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.45 : 13,353.36 = 5,696.93 : x
  2. Step 2: Convert to fraction form
    9,675.45/13,353.36 = 5,696.93/x
  3. Step 3: Cross multiply
    9,675.45x = 13,353.36 × 5,696.93
  4. Step 4: Simplify right side
    9,675.45x = 76,073,169.20
  5. Step 5: Solve for x
    x = 76,073,169.20/9,675.45
  6. Step 6: Final answer
    x = 7,862.49

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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.