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Finding the Fourth Proportional to 9,833.22, 13,569.96 and 5,583.96

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Solution

The fourth proportional to 9,833.22, 13,569.96 and 5,583.96 is: 7,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.22 : 13,569.96 = 5,583.96 : x
  2. Step 2: Convert to fraction form
    9,833.22/13,569.96 = 5,583.96/x
  3. Step 3: Cross multiply
    9,833.22x = 13,569.96 × 5,583.96
  4. Step 4: Simplify right side
    9,833.22x = 75,774,113.84
  5. Step 5: Solve for x
    x = 75,774,113.84/9,833.22
  6. Step 6: Final answer
    x = 7,705.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.