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Finding the Fourth Proportional to 6,523.82, 9,000.23 and 4,165.50

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Solution

The fourth proportional to 6,523.82, 9,000.23 and 4,165.50 is: 5,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.82 : 9,000.23 = 4,165.50 : x
  2. Step 2: Convert to fraction form
    6,523.82/9,000.23 = 4,165.50/x
  3. Step 3: Cross multiply
    6,523.82x = 9,000.23 × 4,165.50
  4. Step 4: Simplify right side
    6,523.82x = 37,490,458.07
  5. Step 5: Solve for x
    x = 37,490,458.07/6,523.82
  6. Step 6: Final answer
    x = 5,746.70

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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.