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Finding the Fourth Proportional to 7,069.14, 9,747.81 and 4,415.58

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Solution

The fourth proportional to 7,069.14, 9,747.81 and 4,415.58 is: 6,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.14 : 9,747.81 = 4,415.58 : x
  2. Step 2: Convert to fraction form
    7,069.14/9,747.81 = 4,415.58/x
  3. Step 3: Cross multiply
    7,069.14x = 9,747.81 × 4,415.58
  4. Step 4: Simplify right side
    7,069.14x = 43,042,234.88
  5. Step 5: Solve for x
    x = 43,042,234.88/7,069.14
  6. Step 6: Final answer
    x = 6,088.75

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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.