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Finding the Fourth Proportional to 6,836.23, 9,435.53 and 4,477

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Solution

The fourth proportional to 6,836.23, 9,435.53 and 4,477 is: 6,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.23 : 9,435.53 = 4,477 : x
  2. Step 2: Convert to fraction form
    6,836.23/9,435.53 = 4,477/x
  3. Step 3: Cross multiply
    6,836.23x = 9,435.53 × 4,477
  4. Step 4: Simplify right side
    6,836.23x = 42,242,867.81
  5. Step 5: Solve for x
    x = 42,242,867.81/6,836.23
  6. Step 6: Final answer
    x = 6,179.26

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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.