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Finding the Fourth Proportional to 9,749.88, 14,620.50 and 9,346.68

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Solution

The fourth proportional to 9,749.88, 14,620.50 and 9,346.68 is: 14,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.88 : 14,620.50 = 9,346.68 : x
  2. Step 2: Convert to fraction form
    9,749.88/14,620.50 = 9,346.68/x
  3. Step 3: Cross multiply
    9,749.88x = 14,620.50 × 9,346.68
  4. Step 4: Simplify right side
    9,749.88x = 136,653,134.94
  5. Step 5: Solve for x
    x = 136,653,134.94/9,749.88
  6. Step 6: Final answer
    x = 14,015.88

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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.