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Finding the Fourth Proportional to 9,802.20, 14,704.18 and 2,782.32

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Solution

The fourth proportional to 9,802.20, 14,704.18 and 2,782.32 is: 4,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.20 : 14,704.18 = 2,782.32 : x
  2. Step 2: Convert to fraction form
    9,802.20/14,704.18 = 2,782.32/x
  3. Step 3: Cross multiply
    9,802.20x = 14,704.18 × 2,782.32
  4. Step 4: Simplify right side
    9,802.20x = 40,911,734.10
  5. Step 5: Solve for x
    x = 40,911,734.10/9,802.20
  6. Step 6: Final answer
    x = 4,173.73

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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.