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Finding the Fourth Proportional to 6,840.69, 9,440.22 and 4,482.82

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Solution

The fourth proportional to 6,840.69, 9,440.22 and 4,482.82 is: 6,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.69 : 9,440.22 = 4,482.82 : x
  2. Step 2: Convert to fraction form
    6,840.69/9,440.22 = 4,482.82/x
  3. Step 3: Cross multiply
    6,840.69x = 9,440.22 × 4,482.82
  4. Step 4: Simplify right side
    6,840.69x = 42,318,807.02
  5. Step 5: Solve for x
    x = 42,318,807.02/6,840.69
  6. Step 6: Final answer
    x = 6,186.34

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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.