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Finding the Fourth Proportional to 9,291.04, 12,823.03 and 5,936.09

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Solution

The fourth proportional to 9,291.04, 12,823.03 and 5,936.09 is: 8,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.04 : 12,823.03 = 5,936.09 : x
  2. Step 2: Convert to fraction form
    9,291.04/12,823.03 = 5,936.09/x
  3. Step 3: Cross multiply
    9,291.04x = 12,823.03 × 5,936.09
  4. Step 4: Simplify right side
    9,291.04x = 76,118,603.46
  5. Step 5: Solve for x
    x = 76,118,603.46/9,291.04
  6. Step 6: Final answer
    x = 8,192.69

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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.