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Finding the Fourth Proportional to 9,744.68, 13,446.66 and 5,765.02

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Solution

The fourth proportional to 9,744.68, 13,446.66 and 5,765.02 is: 7,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.68 : 13,446.66 = 5,765.02 : x
  2. Step 2: Convert to fraction form
    9,744.68/13,446.66 = 5,765.02/x
  3. Step 3: Cross multiply
    9,744.68x = 13,446.66 × 5,765.02
  4. Step 4: Simplify right side
    9,744.68x = 77,520,263.83
  5. Step 5: Solve for x
    x = 77,520,263.83/9,744.68
  6. Step 6: Final answer
    x = 7,955.14

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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.