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Finding the Fourth Proportional to 6,356.48, 9,534.34 and 3,775.84

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Solution

The fourth proportional to 6,356.48, 9,534.34 and 3,775.84 is: 5,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.48 : 9,534.34 = 3,775.84 : x
  2. Step 2: Convert to fraction form
    6,356.48/9,534.34 = 3,775.84/x
  3. Step 3: Cross multiply
    6,356.48x = 9,534.34 × 3,775.84
  4. Step 4: Simplify right side
    6,356.48x = 36,000,142.35
  5. Step 5: Solve for x
    x = 36,000,142.35/6,356.48
  6. Step 6: Final answer
    x = 5,663.53

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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.