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Finding the Fourth Proportional to 9,833.74, 13,570.86 and 5,357.64

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Solution

The fourth proportional to 9,833.74, 13,570.86 and 5,357.64 is: 7,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.74 : 13,570.86 = 5,357.64 : x
  2. Step 2: Convert to fraction form
    9,833.74/13,570.86 = 5,357.64/x
  3. Step 3: Cross multiply
    9,833.74x = 13,570.86 × 5,357.64
  4. Step 4: Simplify right side
    9,833.74x = 72,707,782.37
  5. Step 5: Solve for x
    x = 72,707,782.37/9,833.74
  6. Step 6: Final answer
    x = 7,393.71

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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.