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Finding the Fourth Proportional to 6,775.34, 9,349.32 and 4,222.85

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Solution

The fourth proportional to 6,775.34, 9,349.32 and 4,222.85 is: 5,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.34 : 9,349.32 = 4,222.85 : x
  2. Step 2: Convert to fraction form
    6,775.34/9,349.32 = 4,222.85/x
  3. Step 3: Cross multiply
    6,775.34x = 9,349.32 × 4,222.85
  4. Step 4: Simplify right side
    6,775.34x = 39,480,729.22
  5. Step 5: Solve for x
    x = 39,480,729.22/6,775.34
  6. Step 6: Final answer
    x = 5,827.13

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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.