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Finding the Fourth Proportional to 6,522.63, 8,997.39 and 4,165.95

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Solution

The fourth proportional to 6,522.63, 8,997.39 and 4,165.95 is: 5,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.63 : 8,997.39 = 4,165.95 : x
  2. Step 2: Convert to fraction form
    6,522.63/8,997.39 = 4,165.95/x
  3. Step 3: Cross multiply
    6,522.63x = 8,997.39 × 4,165.95
  4. Step 4: Simplify right side
    6,522.63x = 37,482,676.87
  5. Step 5: Solve for x
    x = 37,482,676.87/6,522.63
  6. Step 6: Final answer
    x = 5,746.56

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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.