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Finding the Fourth Proportional to 6,814.47, 9,403.80 and 3,830.25

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Solution

The fourth proportional to 6,814.47, 9,403.80 and 3,830.25 is: 5,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.47 : 9,403.80 = 3,830.25 : x
  2. Step 2: Convert to fraction form
    6,814.47/9,403.80 = 3,830.25/x
  3. Step 3: Cross multiply
    6,814.47x = 9,403.80 × 3,830.25
  4. Step 4: Simplify right side
    6,814.47x = 36,018,904.95
  5. Step 5: Solve for x
    x = 36,018,904.95/6,814.47
  6. Step 6: Final answer
    x = 5,285.65

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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.