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Finding the Fourth Proportional to 9,858.83, 13,604.95 and 5,382.65

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Solution

The fourth proportional to 9,858.83, 13,604.95 and 5,382.65 is: 7,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.83 : 13,604.95 = 5,382.65 : x
  2. Step 2: Convert to fraction form
    9,858.83/13,604.95 = 5,382.65/x
  3. Step 3: Cross multiply
    9,858.83x = 13,604.95 × 5,382.65
  4. Step 4: Simplify right side
    9,858.83x = 73,230,684.12
  5. Step 5: Solve for x
    x = 73,230,684.12/9,858.83
  6. Step 6: Final answer
    x = 7,427.93

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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.