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Finding the Fourth Proportional to 7,040, 9,706.36 and 4,517.66

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Solution

The fourth proportional to 7,040, 9,706.36 and 4,517.66 is: 6,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040 : 9,706.36 = 4,517.66 : x
  2. Step 2: Convert to fraction form
    7,040/9,706.36 = 4,517.66/x
  3. Step 3: Cross multiply
    7,040x = 9,706.36 × 4,517.66
  4. Step 4: Simplify right side
    7,040x = 43,850,034.32
  5. Step 5: Solve for x
    x = 43,850,034.32/7,040
  6. Step 6: Final answer
    x = 6,228.70

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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.