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Finding the Fourth Proportional to 9,966.51, 14,923.17 and 7,890.75

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Solution

The fourth proportional to 9,966.51, 14,923.17 and 7,890.75 is: 11,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.51 : 14,923.17 = 7,890.75 : x
  2. Step 2: Convert to fraction form
    9,966.51/14,923.17 = 7,890.75/x
  3. Step 3: Cross multiply
    9,966.51x = 14,923.17 × 7,890.75
  4. Step 4: Simplify right side
    9,966.51x = 117,755,003.68
  5. Step 5: Solve for x
    x = 117,755,003.68/9,966.51
  6. Step 6: Final answer
    x = 11,815.07

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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.