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Finding the Fourth Proportional to 9,632.94, 13,284.45 and 6,089.82

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Solution

The fourth proportional to 9,632.94, 13,284.45 and 6,089.82 is: 8,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.94 : 13,284.45 = 6,089.82 : x
  2. Step 2: Convert to fraction form
    9,632.94/13,284.45 = 6,089.82/x
  3. Step 3: Cross multiply
    9,632.94x = 13,284.45 × 6,089.82
  4. Step 4: Simplify right side
    9,632.94x = 80,899,909.30
  5. Step 5: Solve for x
    x = 80,899,909.30/9,632.94
  6. Step 6: Final answer
    x = 8,398.26

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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.