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Finding the Fourth Proportional to 6,148.40, 9,220.47 and 3,804.83

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Solution

The fourth proportional to 6,148.40, 9,220.47 and 3,804.83 is: 5,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.40 : 9,220.47 = 3,804.83 : x
  2. Step 2: Convert to fraction form
    6,148.40/9,220.47 = 3,804.83/x
  3. Step 3: Cross multiply
    6,148.40x = 9,220.47 × 3,804.83
  4. Step 4: Simplify right side
    6,148.40x = 35,082,274.77
  5. Step 5: Solve for x
    x = 35,082,274.77/6,148.40
  6. Step 6: Final answer
    x = 5,705.92

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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.