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Finding the Fourth Proportional to 6,934.33, 9,573.96 and 4,285.63

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Solution

The fourth proportional to 6,934.33, 9,573.96 and 4,285.63 is: 5,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.33 : 9,573.96 = 4,285.63 : x
  2. Step 2: Convert to fraction form
    6,934.33/9,573.96 = 4,285.63/x
  3. Step 3: Cross multiply
    6,934.33x = 9,573.96 × 4,285.63
  4. Step 4: Simplify right side
    6,934.33x = 41,030,450.19
  5. Step 5: Solve for x
    x = 41,030,450.19/6,934.33
  6. Step 6: Final answer
    x = 5,917.00

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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.