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Finding the Fourth Proportional to 9,696.34, 13,380.59 and 5,925.82

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Solution

The fourth proportional to 9,696.34, 13,380.59 and 5,925.82 is: 8,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.34 : 13,380.59 = 5,925.82 : x
  2. Step 2: Convert to fraction form
    9,696.34/13,380.59 = 5,925.82/x
  3. Step 3: Cross multiply
    9,696.34x = 13,380.59 × 5,925.82
  4. Step 4: Simplify right side
    9,696.34x = 79,290,967.83
  5. Step 5: Solve for x
    x = 79,290,967.83/9,696.34
  6. Step 6: Final answer
    x = 8,177.41

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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.