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Finding the Fourth Proportional to 6,830.16, 9,425.88 and 4,178.76

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Solution

The fourth proportional to 6,830.16, 9,425.88 and 4,178.76 is: 5,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.16 : 9,425.88 = 4,178.76 : x
  2. Step 2: Convert to fraction form
    6,830.16/9,425.88 = 4,178.76/x
  3. Step 3: Cross multiply
    6,830.16x = 9,425.88 × 4,178.76
  4. Step 4: Simplify right side
    6,830.16x = 39,388,490.31
  5. Step 5: Solve for x
    x = 39,388,490.31/6,830.16
  6. Step 6: Final answer
    x = 5,766.85

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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.