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Finding the Fourth Proportional to 9,832.81, 14,740.47 and 7,052.48

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Solution

The fourth proportional to 9,832.81, 14,740.47 and 7,052.48 is: 10,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.81 : 14,740.47 = 7,052.48 : x
  2. Step 2: Convert to fraction form
    9,832.81/14,740.47 = 7,052.48/x
  3. Step 3: Cross multiply
    9,832.81x = 14,740.47 × 7,052.48
  4. Step 4: Simplify right side
    9,832.81x = 103,956,906.72
  5. Step 5: Solve for x
    x = 103,956,906.72/9,832.81
  6. Step 6: Final answer
    x = 10,572.45

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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.