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Finding the Fourth Proportional to 6,816.40, 9,406.47 and 4,458.49

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Solution

The fourth proportional to 6,816.40, 9,406.47 and 4,458.49 is: 6,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.40 : 9,406.47 = 4,458.49 : x
  2. Step 2: Convert to fraction form
    6,816.40/9,406.47 = 4,458.49/x
  3. Step 3: Cross multiply
    6,816.40x = 9,406.47 × 4,458.49
  4. Step 4: Simplify right side
    6,816.40x = 41,938,652.43
  5. Step 5: Solve for x
    x = 41,938,652.43/6,816.40
  6. Step 6: Final answer
    x = 6,152.61

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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.