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Finding the Fourth Proportional to 9,292.98, 13,930.90 and 4,024.66

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Solution

The fourth proportional to 9,292.98, 13,930.90 and 4,024.66 is: 6,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.98 : 13,930.90 = 4,024.66 : x
  2. Step 2: Convert to fraction form
    9,292.98/13,930.90 = 4,024.66/x
  3. Step 3: Cross multiply
    9,292.98x = 13,930.90 × 4,024.66
  4. Step 4: Simplify right side
    9,292.98x = 56,067,135.99
  5. Step 5: Solve for x
    x = 56,067,135.99/9,292.98
  6. Step 6: Final answer
    x = 6,033.28

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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.