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Finding the Fourth Proportional to 9,820.72, 14,731.12 and 2,425.12

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Solution

The fourth proportional to 9,820.72, 14,731.12 and 2,425.12 is: 3,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.72 : 14,731.12 = 2,425.12 : x
  2. Step 2: Convert to fraction form
    9,820.72/14,731.12 = 2,425.12/x
  3. Step 3: Cross multiply
    9,820.72x = 14,731.12 × 2,425.12
  4. Step 4: Simplify right side
    9,820.72x = 35,724,733.73
  5. Step 5: Solve for x
    x = 35,724,733.73/9,820.72
  6. Step 6: Final answer
    x = 3,637.69

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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.