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Finding the Fourth Proportional to 6,816.52, 9,404.40 and 4,457.80

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Solution

The fourth proportional to 6,816.52, 9,404.40 and 4,457.80 is: 6,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.52 : 9,404.40 = 4,457.80 : x
  2. Step 2: Convert to fraction form
    6,816.52/9,404.40 = 4,457.80/x
  3. Step 3: Cross multiply
    6,816.52x = 9,404.40 × 4,457.80
  4. Step 4: Simplify right side
    6,816.52x = 41,922,934.32
  5. Step 5: Solve for x
    x = 41,922,934.32/6,816.52
  6. Step 6: Final answer
    x = 6,150.20

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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.