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Finding the Fourth Proportional to 6,949.58, 9,590.42 and 3,762.86

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Solution

The fourth proportional to 6,949.58, 9,590.42 and 3,762.86 is: 5,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.58 : 9,590.42 = 3,762.86 : x
  2. Step 2: Convert to fraction form
    6,949.58/9,590.42 = 3,762.86/x
  3. Step 3: Cross multiply
    6,949.58x = 9,590.42 × 3,762.86
  4. Step 4: Simplify right side
    6,949.58x = 36,087,341.03
  5. Step 5: Solve for x
    x = 36,087,341.03/6,949.58
  6. Step 6: Final answer
    x = 5,192.74

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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.