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Finding the Fourth Proportional to 9,749.50, 14,624.25 and 2,353.95

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Solution

The fourth proportional to 9,749.50, 14,624.25 and 2,353.95 is: 3,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.50 : 14,624.25 = 2,353.95 : x
  2. Step 2: Convert to fraction form
    9,749.50/14,624.25 = 2,353.95/x
  3. Step 3: Cross multiply
    9,749.50x = 14,624.25 × 2,353.95
  4. Step 4: Simplify right side
    9,749.50x = 34,424,747.40
  5. Step 5: Solve for x
    x = 34,424,747.40/9,749.50
  6. Step 6: Final answer
    x = 3,530.93

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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.