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Finding the Fourth Proportional to 9,833.62, 13,570.33 and 5,357.36

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Solution

The fourth proportional to 9,833.62, 13,570.33 and 5,357.36 is: 7,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.62 : 13,570.33 = 5,357.36 : x
  2. Step 2: Convert to fraction form
    9,833.62/13,570.33 = 5,357.36/x
  3. Step 3: Cross multiply
    9,833.62x = 13,570.33 × 5,357.36
  4. Step 4: Simplify right side
    9,833.62x = 72,701,143.13
  5. Step 5: Solve for x
    x = 72,701,143.13/9,833.62
  6. Step 6: Final answer
    x = 7,393.12

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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.