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Finding the Fourth Proportional to 7,054.54, 9,734.93 and 4,223.49

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Solution

The fourth proportional to 7,054.54, 9,734.93 and 4,223.49 is: 5,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.54 : 9,734.93 = 4,223.49 : x
  2. Step 2: Convert to fraction form
    7,054.54/9,734.93 = 4,223.49/x
  3. Step 3: Cross multiply
    7,054.54x = 9,734.93 × 4,223.49
  4. Step 4: Simplify right side
    7,054.54x = 41,115,416.24
  5. Step 5: Solve for x
    x = 41,115,416.24/7,054.54
  6. Step 6: Final answer
    x = 5,828.22

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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.