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Finding the Fourth Proportional to 9,970.12, 14,964.47 and 5,043.23

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Solution

The fourth proportional to 9,970.12, 14,964.47 and 5,043.23 is: 7,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.12 : 14,964.47 = 5,043.23 : x
  2. Step 2: Convert to fraction form
    9,970.12/14,964.47 = 5,043.23/x
  3. Step 3: Cross multiply
    9,970.12x = 14,964.47 × 5,043.23
  4. Step 4: Simplify right side
    9,970.12x = 75,469,239.03
  5. Step 5: Solve for x
    x = 75,469,239.03/9,970.12
  6. Step 6: Final answer
    x = 7,569.54

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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.