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Finding the Fourth Proportional to 6,409.73, 8,841.60 and 4,735.46

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Solution

The fourth proportional to 6,409.73, 8,841.60 and 4,735.46 is: 6,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.73 : 8,841.60 = 4,735.46 : x
  2. Step 2: Convert to fraction form
    6,409.73/8,841.60 = 4,735.46/x
  3. Step 3: Cross multiply
    6,409.73x = 8,841.60 × 4,735.46
  4. Step 4: Simplify right side
    6,409.73x = 41,868,998.93
  5. Step 5: Solve for x
    x = 41,868,998.93/6,409.73
  6. Step 6: Final answer
    x = 6,532.11

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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.