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Finding the Fourth Proportional to 9,833.98, 13,570.42 and 5,357.71

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Solution

The fourth proportional to 9,833.98, 13,570.42 and 5,357.71 is: 7,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.98 : 13,570.42 = 5,357.71 : x
  2. Step 2: Convert to fraction form
    9,833.98/13,570.42 = 5,357.71/x
  3. Step 3: Cross multiply
    9,833.98x = 13,570.42 × 5,357.71
  4. Step 4: Simplify right side
    9,833.98x = 72,706,374.94
  5. Step 5: Solve for x
    x = 72,706,374.94/9,833.98
  6. Step 6: Final answer
    x = 7,393.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.