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Finding the Fourth Proportional to 6,411.90, 9,619.20 and 2,712.23

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Solution

The fourth proportional to 6,411.90, 9,619.20 and 2,712.23 is: 4,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.90 : 9,619.20 = 2,712.23 : x
  2. Step 2: Convert to fraction form
    6,411.90/9,619.20 = 2,712.23/x
  3. Step 3: Cross multiply
    6,411.90x = 9,619.20 × 2,712.23
  4. Step 4: Simplify right side
    6,411.90x = 26,089,434.72
  5. Step 5: Solve for x
    x = 26,089,434.72/6,411.90
  6. Step 6: Final answer
    x = 4,068.91

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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.