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Finding the Fourth Proportional to 6,815.07, 9,408.35 and 4,588.68

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Solution

The fourth proportional to 6,815.07, 9,408.35 and 4,588.68 is: 6,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.07 : 9,408.35 = 4,588.68 : x
  2. Step 2: Convert to fraction form
    6,815.07/9,408.35 = 4,588.68/x
  3. Step 3: Cross multiply
    6,815.07x = 9,408.35 × 4,588.68
  4. Step 4: Simplify right side
    6,815.07x = 43,171,954.23
  5. Step 5: Solve for x
    x = 43,171,954.23/6,815.07
  6. Step 6: Final answer
    x = 6,334.78

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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.