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Finding the Fourth Proportional to 9,892.60, 14,825.94 and 4,042.54

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Solution

The fourth proportional to 9,892.60, 14,825.94 and 4,042.54 is: 6,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.60 : 14,825.94 = 4,042.54 : x
  2. Step 2: Convert to fraction form
    9,892.60/14,825.94 = 4,042.54/x
  3. Step 3: Cross multiply
    9,892.60x = 14,825.94 × 4,042.54
  4. Step 4: Simplify right side
    9,892.60x = 59,934,455.49
  5. Step 5: Solve for x
    x = 59,934,455.49/9,892.60
  6. Step 6: Final answer
    x = 6,058.51

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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.