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Finding the Fourth Proportional to 6,632.40, 9,156.24 and 4,113.30

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Solution

The fourth proportional to 6,632.40, 9,156.24 and 4,113.30 is: 5,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.40 : 9,156.24 = 4,113.30 : x
  2. Step 2: Convert to fraction form
    6,632.40/9,156.24 = 4,113.30/x
  3. Step 3: Cross multiply
    6,632.40x = 9,156.24 × 4,113.30
  4. Step 4: Simplify right side
    6,632.40x = 37,662,361.99
  5. Step 5: Solve for x
    x = 37,662,361.99/6,632.40
  6. Step 6: Final answer
    x = 5,678.54

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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.