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Finding the Fourth Proportional to 7,105.77, 9,804.78 and 4,121.06

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Solution

The fourth proportional to 7,105.77, 9,804.78 and 4,121.06 is: 5,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.77 : 9,804.78 = 4,121.06 : x
  2. Step 2: Convert to fraction form
    7,105.77/9,804.78 = 4,121.06/x
  3. Step 3: Cross multiply
    7,105.77x = 9,804.78 × 4,121.06
  4. Step 4: Simplify right side
    7,105.77x = 40,406,037.64
  5. Step 5: Solve for x
    x = 40,406,037.64/7,105.77
  6. Step 6: Final answer
    x = 5,686.37

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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.