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Finding the Fourth Proportional to 9,836.22, 13,567.02 and 5,854.26

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Solution

The fourth proportional to 9,836.22, 13,567.02 and 5,854.26 is: 8,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.22 : 13,567.02 = 5,854.26 : x
  2. Step 2: Convert to fraction form
    9,836.22/13,567.02 = 5,854.26/x
  3. Step 3: Cross multiply
    9,836.22x = 13,567.02 × 5,854.26
  4. Step 4: Simplify right side
    9,836.22x = 79,424,862.51
  5. Step 5: Solve for x
    x = 79,424,862.51/9,836.22
  6. Step 6: Final answer
    x = 8,074.73

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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.