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Finding the Fourth Proportional to 6,323.83, 9,484.56 and 2,107.14

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Solution

The fourth proportional to 6,323.83, 9,484.56 and 2,107.14 is: 3,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.83 : 9,484.56 = 2,107.14 : x
  2. Step 2: Convert to fraction form
    6,323.83/9,484.56 = 2,107.14/x
  3. Step 3: Cross multiply
    6,323.83x = 9,484.56 × 2,107.14
  4. Step 4: Simplify right side
    6,323.83x = 19,985,295.76
  5. Step 5: Solve for x
    x = 19,985,295.76/6,323.83
  6. Step 6: Final answer
    x = 3,160.32

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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.