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Finding the Fourth Proportional to 9,836.91, 13,567.95 and 9,511.47

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Solution

The fourth proportional to 9,836.91, 13,567.95 and 9,511.47 is: 13,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.91 : 13,567.95 = 9,511.47 : x
  2. Step 2: Convert to fraction form
    9,836.91/13,567.95 = 9,511.47/x
  3. Step 3: Cross multiply
    9,836.91x = 13,567.95 × 9,511.47
  4. Step 4: Simplify right side
    9,836.91x = 129,051,149.39
  5. Step 5: Solve for x
    x = 129,051,149.39/9,836.91
  6. Step 6: Final answer
    x = 13,119.07

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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.