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Finding the Fourth Proportional to 28,316.48, 42,474.24 and 9,848

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Solution

The fourth proportional to 28,316.48, 42,474.24 and 9,848 is: 14,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,316.48 : 42,474.24 = 9,848 : x
  2. Step 2: Convert to fraction form
    28,316.48/42,474.24 = 9,848/x
  3. Step 3: Cross multiply
    28,316.48x = 42,474.24 × 9,848
  4. Step 4: Simplify right side
    28,316.48x = 418,286,315.52
  5. Step 5: Solve for x
    x = 418,286,315.52/28,316.48
  6. Step 6: Final answer
    x = 14,771.83

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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.