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Finding the Fourth Proportional to 9,835.68, 13,567.02 and 5,853.82

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Solution

The fourth proportional to 9,835.68, 13,567.02 and 5,853.82 is: 8,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.68 : 13,567.02 = 5,853.82 : x
  2. Step 2: Convert to fraction form
    9,835.68/13,567.02 = 5,853.82/x
  3. Step 3: Cross multiply
    9,835.68x = 13,567.02 × 5,853.82
  4. Step 4: Simplify right side
    9,835.68x = 79,418,893.02
  5. Step 5: Solve for x
    x = 79,418,893.02/9,835.68
  6. Step 6: Final answer
    x = 8,074.57

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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.