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Finding the Fourth Proportional to 9,749.88, 14,624.78 and 2,354.31

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Solution

The fourth proportional to 9,749.88, 14,624.78 and 2,354.31 is: 3,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.88 : 14,624.78 = 2,354.31 : x
  2. Step 2: Convert to fraction form
    9,749.88/14,624.78 = 2,354.31/x
  3. Step 3: Cross multiply
    9,749.88x = 14,624.78 × 2,354.31
  4. Step 4: Simplify right side
    9,749.88x = 34,431,254.03
  5. Step 5: Solve for x
    x = 34,431,254.03/9,749.88
  6. Step 6: Final answer
    x = 3,531.45

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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.