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Finding the Fourth Proportional to 6,632.94, 9,153.46 and 3,648.76

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Solution

The fourth proportional to 6,632.94, 9,153.46 and 3,648.76 is: 5,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.94 : 9,153.46 = 3,648.76 : x
  2. Step 2: Convert to fraction form
    6,632.94/9,153.46 = 3,648.76/x
  3. Step 3: Cross multiply
    6,632.94x = 9,153.46 × 3,648.76
  4. Step 4: Simplify right side
    6,632.94x = 33,398,778.71
  5. Step 5: Solve for x
    x = 33,398,778.71/6,632.94
  6. Step 6: Final answer
    x = 5,035.29

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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.