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Finding the Fourth Proportional to 9,431.47, 14,147.21 and 5,042.89

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Solution

The fourth proportional to 9,431.47, 14,147.21 and 5,042.89 is: 7,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.47 : 14,147.21 = 5,042.89 : x
  2. Step 2: Convert to fraction form
    9,431.47/14,147.21 = 5,042.89/x
  3. Step 3: Cross multiply
    9,431.47x = 14,147.21 × 5,042.89
  4. Step 4: Simplify right side
    9,431.47x = 71,342,823.84
  5. Step 5: Solve for x
    x = 71,342,823.84/9,431.47
  6. Step 6: Final answer
    x = 7,564.34

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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.