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Finding the Fourth Proportional to 9,825.90, 13,536.68 and 6,836.59

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Solution

The fourth proportional to 9,825.90, 13,536.68 and 6,836.59 is: 9,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.90 : 13,536.68 = 6,836.59 : x
  2. Step 2: Convert to fraction form
    9,825.90/13,536.68 = 6,836.59/x
  3. Step 3: Cross multiply
    9,825.90x = 13,536.68 × 6,836.59
  4. Step 4: Simplify right side
    9,825.90x = 92,544,731.12
  5. Step 5: Solve for x
    x = 92,544,731.12/9,825.90
  6. Step 6: Final answer
    x = 9,418.45

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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.