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Finding the Fourth Proportional to 6,332.16, 8,736.93 and 3,678

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Solution

The fourth proportional to 6,332.16, 8,736.93 and 3,678 is: 5,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.16 : 8,736.93 = 3,678 : x
  2. Step 2: Convert to fraction form
    6,332.16/8,736.93 = 3,678/x
  3. Step 3: Cross multiply
    6,332.16x = 8,736.93 × 3,678
  4. Step 4: Simplify right side
    6,332.16x = 32,134,428.54
  5. Step 5: Solve for x
    x = 32,134,428.54/6,332.16
  6. Step 6: Final answer
    x = 5,074.80

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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.