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Finding the Fourth Proportional to 6,814.71, 9,403.88 and 3,830.51

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Solution

The fourth proportional to 6,814.71, 9,403.88 and 3,830.51 is: 5,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.71 : 9,403.88 = 3,830.51 : x
  2. Step 2: Convert to fraction form
    6,814.71/9,403.88 = 3,830.51/x
  3. Step 3: Cross multiply
    6,814.71x = 9,403.88 × 3,830.51
  4. Step 4: Simplify right side
    6,814.71x = 36,021,590.21
  5. Step 5: Solve for x
    x = 36,021,590.21/6,814.71
  6. Step 6: Final answer
    x = 5,285.86

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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.