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Finding the Fourth Proportional to 7,125.36, 9,823.44 and 4,998.03

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Solution

The fourth proportional to 7,125.36, 9,823.44 and 4,998.03 is: 6,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.36 : 9,823.44 = 4,998.03 : x
  2. Step 2: Convert to fraction form
    7,125.36/9,823.44 = 4,998.03/x
  3. Step 3: Cross multiply
    7,125.36x = 9,823.44 × 4,998.03
  4. Step 4: Simplify right side
    7,125.36x = 49,097,847.82
  5. Step 5: Solve for x
    x = 49,097,847.82/7,125.36
  6. Step 6: Final answer
    x = 6,890.58

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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.