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Finding the Fourth Proportional to 9,664.94, 14,563.23 and 7,948.40

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Solution

The fourth proportional to 9,664.94, 14,563.23 and 7,948.40 is: 11,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.94 : 14,563.23 = 7,948.40 : x
  2. Step 2: Convert to fraction form
    9,664.94/14,563.23 = 7,948.40/x
  3. Step 3: Cross multiply
    9,664.94x = 14,563.23 × 7,948.40
  4. Step 4: Simplify right side
    9,664.94x = 115,754,304.52
  5. Step 5: Solve for x
    x = 115,754,304.52/9,664.94
  6. Step 6: Final answer
    x = 11,976.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.