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Finding the Fourth Proportional to 9,966.01, 13,752.93 and 5,716.88

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Solution

The fourth proportional to 9,966.01, 13,752.93 and 5,716.88 is: 7,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.01 : 13,752.93 = 5,716.88 : x
  2. Step 2: Convert to fraction form
    9,966.01/13,752.93 = 5,716.88/x
  3. Step 3: Cross multiply
    9,966.01x = 13,752.93 × 5,716.88
  4. Step 4: Simplify right side
    9,966.01x = 78,623,906.28
  5. Step 5: Solve for x
    x = 78,623,906.28/9,966.01
  6. Step 6: Final answer
    x = 7,889.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.