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Finding the Fourth Proportional to 7,055.05, 9,735.69 and 4,224.00

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Solution

The fourth proportional to 7,055.05, 9,735.69 and 4,224.00 is: 5,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.05 : 9,735.69 = 4,224.00 : x
  2. Step 2: Convert to fraction form
    7,055.05/9,735.69 = 4,224.00/x
  3. Step 3: Cross multiply
    7,055.05x = 9,735.69 × 4,224.00
  4. Step 4: Simplify right side
    7,055.05x = 41,123,552.15
  5. Step 5: Solve for x
    x = 41,123,552.15/7,055.05
  6. Step 6: Final answer
    x = 5,828.95

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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.