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Finding the Fourth Proportional to 6,973.16, 9,628.04 and 4,322.84

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Solution

The fourth proportional to 6,973.16, 9,628.04 and 4,322.84 is: 5,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.16 : 9,628.04 = 4,322.84 : x
  2. Step 2: Convert to fraction form
    6,973.16/9,628.04 = 4,322.84/x
  3. Step 3: Cross multiply
    6,973.16x = 9,628.04 × 4,322.84
  4. Step 4: Simplify right side
    6,973.16x = 41,620,476.43
  5. Step 5: Solve for x
    x = 41,620,476.43/6,973.16
  6. Step 6: Final answer
    x = 5,968.67

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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.