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Finding the Fourth Proportional to 6,937.80, 10,406.70 and 6,172.35

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Solution

The fourth proportional to 6,937.80, 10,406.70 and 6,172.35 is: 9,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.80 : 10,406.70 = 6,172.35 : x
  2. Step 2: Convert to fraction form
    6,937.80/10,406.70 = 6,172.35/x
  3. Step 3: Cross multiply
    6,937.80x = 10,406.70 × 6,172.35
  4. Step 4: Simplify right side
    6,937.80x = 64,233,794.75
  5. Step 5: Solve for x
    x = 64,233,794.75/6,937.80
  6. Step 6: Final answer
    x = 9,258.53

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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.