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Finding the Fourth Proportional to 6,804.47, 9,388.58 and 3,970.19

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Solution

The fourth proportional to 6,804.47, 9,388.58 and 3,970.19 is: 5,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.47 : 9,388.58 = 3,970.19 : x
  2. Step 2: Convert to fraction form
    6,804.47/9,388.58 = 3,970.19/x
  3. Step 3: Cross multiply
    6,804.47x = 9,388.58 × 3,970.19
  4. Step 4: Simplify right side
    6,804.47x = 37,274,450.05
  5. Step 5: Solve for x
    x = 37,274,450.05/6,804.47
  6. Step 6: Final answer
    x = 5,477.93

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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.