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Finding the Fourth Proportional to 9,802.50, 13,519.55 and 6,351.90

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Solution

The fourth proportional to 9,802.50, 13,519.55 and 6,351.90 is: 8,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.50 : 13,519.55 = 6,351.90 : x
  2. Step 2: Convert to fraction form
    9,802.50/13,519.55 = 6,351.90/x
  3. Step 3: Cross multiply
    9,802.50x = 13,519.55 × 6,351.90
  4. Step 4: Simplify right side
    9,802.50x = 85,874,797.89
  5. Step 5: Solve for x
    x = 85,874,797.89/9,802.50
  6. Step 6: Final answer
    x = 8,760.50

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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.