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Finding the Fourth Proportional to 9,833.23, 13,570.95 and 6,055.65

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Solution

The fourth proportional to 9,833.23, 13,570.95 and 6,055.65 is: 8,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.23 : 13,570.95 = 6,055.65 : x
  2. Step 2: Convert to fraction form
    9,833.23/13,570.95 = 6,055.65/x
  3. Step 3: Cross multiply
    9,833.23x = 13,570.95 × 6,055.65
  4. Step 4: Simplify right side
    9,833.23x = 82,180,923.37
  5. Step 5: Solve for x
    x = 82,180,923.37/9,833.23
  6. Step 6: Final answer
    x = 8,357.47

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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.