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Finding the Fourth Proportional to 9,933.05, 13,706.93 and 5,456.99

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Solution

The fourth proportional to 9,933.05, 13,706.93 and 5,456.99 is: 7,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.05 : 13,706.93 = 5,456.99 : x
  2. Step 2: Convert to fraction form
    9,933.05/13,706.93 = 5,456.99/x
  3. Step 3: Cross multiply
    9,933.05x = 13,706.93 × 5,456.99
  4. Step 4: Simplify right side
    9,933.05x = 74,798,627.85
  5. Step 5: Solve for x
    x = 74,798,627.85/9,933.05
  6. Step 6: Final answer
    x = 7,530.28

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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.