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Finding the Fourth Proportional to 6,376.16, 9,564.97 and 1,696.37

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Solution

The fourth proportional to 6,376.16, 9,564.97 and 1,696.37 is: 2,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.16 : 9,564.97 = 1,696.37 : x
  2. Step 2: Convert to fraction form
    6,376.16/9,564.97 = 1,696.37/x
  3. Step 3: Cross multiply
    6,376.16x = 9,564.97 × 1,696.37
  4. Step 4: Simplify right side
    6,376.16x = 16,225,682.45
  5. Step 5: Solve for x
    x = 16,225,682.45/6,376.16
  6. Step 6: Final answer
    x = 2,544.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.