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Finding the Fourth Proportional to 6,356.34, 9,523.96 and 4,498.24

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Solution

The fourth proportional to 6,356.34, 9,523.96 and 4,498.24 is: 6,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.34 : 9,523.96 = 4,498.24 : x
  2. Step 2: Convert to fraction form
    6,356.34/9,523.96 = 4,498.24/x
  3. Step 3: Cross multiply
    6,356.34x = 9,523.96 × 4,498.24
  4. Step 4: Simplify right side
    6,356.34x = 42,841,057.83
  5. Step 5: Solve for x
    x = 42,841,057.83/6,356.34
  6. Step 6: Final answer
    x = 6,739.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.