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Finding the Fourth Proportional to 9,306.75, 13,957.38 and 3,970.80

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Solution

The fourth proportional to 9,306.75, 13,957.38 and 3,970.80 is: 5,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.75 : 13,957.38 = 3,970.80 : x
  2. Step 2: Convert to fraction form
    9,306.75/13,957.38 = 3,970.80/x
  3. Step 3: Cross multiply
    9,306.75x = 13,957.38 × 3,970.80
  4. Step 4: Simplify right side
    9,306.75x = 55,421,964.50
  5. Step 5: Solve for x
    x = 55,421,964.50/9,306.75
  6. Step 6: Final answer
    x = 5,955.03

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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.