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Finding the Fourth Proportional to 9,825.12, 14,740.02 and 2,899.62

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Solution

The fourth proportional to 9,825.12, 14,740.02 and 2,899.62 is: 4,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.12 : 14,740.02 = 2,899.62 : x
  2. Step 2: Convert to fraction form
    9,825.12/14,740.02 = 2,899.62/x
  3. Step 3: Cross multiply
    9,825.12x = 14,740.02 × 2,899.62
  4. Step 4: Simplify right side
    9,825.12x = 42,740,456.79
  5. Step 5: Solve for x
    x = 42,740,456.79/9,825.12
  6. Step 6: Final answer
    x = 4,350.12

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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.