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Finding the Fourth Proportional to 6,920.19, 9,542.43 and 4,558.23

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Solution

The fourth proportional to 6,920.19, 9,542.43 and 4,558.23 is: 6,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.19 : 9,542.43 = 4,558.23 : x
  2. Step 2: Convert to fraction form
    6,920.19/9,542.43 = 4,558.23/x
  3. Step 3: Cross multiply
    6,920.19x = 9,542.43 × 4,558.23
  4. Step 4: Simplify right side
    6,920.19x = 43,496,590.70
  5. Step 5: Solve for x
    x = 43,496,590.70/6,920.19
  6. Step 6: Final answer
    x = 6,285.46

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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.