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Finding the Fourth Proportional to 7,104.81, 9,804.72 and 4,120.77

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Solution

The fourth proportional to 7,104.81, 9,804.72 and 4,120.77 is: 5,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.81 : 9,804.72 = 4,120.77 : x
  2. Step 2: Convert to fraction form
    7,104.81/9,804.72 = 4,120.77/x
  3. Step 3: Cross multiply
    7,104.81x = 9,804.72 × 4,120.77
  4. Step 4: Simplify right side
    7,104.81x = 40,402,947.01
  5. Step 5: Solve for x
    x = 40,402,947.01/7,104.81
  6. Step 6: Final answer
    x = 5,686.71

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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.