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Finding the Fourth Proportional to 6,822.40, 9,404.32 and 5,707.04

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Solution

The fourth proportional to 6,822.40, 9,404.32 and 5,707.04 is: 7,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.40 : 9,404.32 = 5,707.04 : x
  2. Step 2: Convert to fraction form
    6,822.40/9,404.32 = 5,707.04/x
  3. Step 3: Cross multiply
    6,822.40x = 9,404.32 × 5,707.04
  4. Step 4: Simplify right side
    6,822.40x = 53,670,830.41
  5. Step 5: Solve for x
    x = 53,670,830.41/6,822.40
  6. Step 6: Final answer
    x = 7,866.85

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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.