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Finding the Fourth Proportional to 9,749.66, 14,623.88 and 2,824.16

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Solution

The fourth proportional to 9,749.66, 14,623.88 and 2,824.16 is: 4,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.66 : 14,623.88 = 2,824.16 : x
  2. Step 2: Convert to fraction form
    9,749.66/14,623.88 = 2,824.16/x
  3. Step 3: Cross multiply
    9,749.66x = 14,623.88 × 2,824.16
  4. Step 4: Simplify right side
    9,749.66x = 41,300,089.70
  5. Step 5: Solve for x
    x = 41,300,089.70/9,749.66
  6. Step 6: Final answer
    x = 4,236.06

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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.