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Finding the Fourth Proportional to 7,184.01, 9,912 and 4,200.58

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Solution

The fourth proportional to 7,184.01, 9,912 and 4,200.58 is: 5,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.01 : 9,912 = 4,200.58 : x
  2. Step 2: Convert to fraction form
    7,184.01/9,912 = 4,200.58/x
  3. Step 3: Cross multiply
    7,184.01x = 9,912 × 4,200.58
  4. Step 4: Simplify right side
    7,184.01x = 41,636,148.96
  5. Step 5: Solve for x
    x = 41,636,148.96/7,184.01
  6. Step 6: Final answer
    x = 5,795.67

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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.