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Finding the Fourth Proportional to 9,925.45, 13,696.11 and 5,946.46

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Solution

The fourth proportional to 9,925.45, 13,696.11 and 5,946.46 is: 8,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.45 : 13,696.11 = 5,946.46 : x
  2. Step 2: Convert to fraction form
    9,925.45/13,696.11 = 5,946.46/x
  3. Step 3: Cross multiply
    9,925.45x = 13,696.11 × 5,946.46
  4. Step 4: Simplify right side
    9,925.45x = 81,443,336.03
  5. Step 5: Solve for x
    x = 81,443,336.03/9,925.45
  6. Step 6: Final answer
    x = 8,205.51

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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.