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Finding the Fourth Proportional to 6,469.66, 9,696.65 and 4,592.60

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Solution

The fourth proportional to 6,469.66, 9,696.65 and 4,592.60 is: 6,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.66 : 9,696.65 = 4,592.60 : x
  2. Step 2: Convert to fraction form
    6,469.66/9,696.65 = 4,592.60/x
  3. Step 3: Cross multiply
    6,469.66x = 9,696.65 × 4,592.60
  4. Step 4: Simplify right side
    6,469.66x = 44,532,763.34
  5. Step 5: Solve for x
    x = 44,532,763.34/6,469.66
  6. Step 6: Final answer
    x = 6,883.33

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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.