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Finding the Fourth Proportional to 6,629.65, 9,148.80 and 3,645.46

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Solution

The fourth proportional to 6,629.65, 9,148.80 and 3,645.46 is: 5,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.65 : 9,148.80 = 3,645.46 : x
  2. Step 2: Convert to fraction form
    6,629.65/9,148.80 = 3,645.46/x
  3. Step 3: Cross multiply
    6,629.65x = 9,148.80 × 3,645.46
  4. Step 4: Simplify right side
    6,629.65x = 33,351,537.59
  5. Step 5: Solve for x
    x = 33,351,537.59/6,629.65
  6. Step 6: Final answer
    x = 5,030.67

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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.