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Finding the Fourth Proportional to 8,970.68, 13,450.62 and 3,970.46

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Solution

The fourth proportional to 8,970.68, 13,450.62 and 3,970.46 is: 5,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.68 : 13,450.62 = 3,970.46 : x
  2. Step 2: Convert to fraction form
    8,970.68/13,450.62 = 3,970.46/x
  3. Step 3: Cross multiply
    8,970.68x = 13,450.62 × 3,970.46
  4. Step 4: Simplify right side
    8,970.68x = 53,405,148.69
  5. Step 5: Solve for x
    x = 53,405,148.69/8,970.68
  6. Step 6: Final answer
    x = 5,953.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.