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Finding the Fourth Proportional to 6,968.88, 9,614 and 4,172.76

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Solution

The fourth proportional to 6,968.88, 9,614 and 4,172.76 is: 5,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.88 : 9,614 = 4,172.76 : x
  2. Step 2: Convert to fraction form
    6,968.88/9,614 = 4,172.76/x
  3. Step 3: Cross multiply
    6,968.88x = 9,614 × 4,172.76
  4. Step 4: Simplify right side
    6,968.88x = 40,116,914.64
  5. Step 5: Solve for x
    x = 40,116,914.64/6,968.88
  6. Step 6: Final answer
    x = 5,756.58

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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.