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Finding the Fourth Proportional to 9,664.57, 14,562.70 and 7,948.03

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Solution

The fourth proportional to 9,664.57, 14,562.70 and 7,948.03 is: 11,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.57 : 14,562.70 = 7,948.03 : x
  2. Step 2: Convert to fraction form
    9,664.57/14,562.70 = 7,948.03/x
  3. Step 3: Cross multiply
    9,664.57x = 14,562.70 × 7,948.03
  4. Step 4: Simplify right side
    9,664.57x = 115,744,736.74
  5. Step 5: Solve for x
    x = 115,744,736.74/9,664.57
  6. Step 6: Final answer
    x = 11,976.19

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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.