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Finding the Fourth Proportional to 9,823.22, 13,555.01 and 5,735.17

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Solution

The fourth proportional to 9,823.22, 13,555.01 and 5,735.17 is: 7,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.22 : 13,555.01 = 5,735.17 : x
  2. Step 2: Convert to fraction form
    9,823.22/13,555.01 = 5,735.17/x
  3. Step 3: Cross multiply
    9,823.22x = 13,555.01 × 5,735.17
  4. Step 4: Simplify right side
    9,823.22x = 77,740,190.25
  5. Step 5: Solve for x
    x = 77,740,190.25/9,823.22
  6. Step 6: Final answer
    x = 7,913.93

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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.