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Finding the Fourth Proportional to 9,283.98, 13,922.96 and 3,042.30

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Solution

The fourth proportional to 9,283.98, 13,922.96 and 3,042.30 is: 4,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.98 : 13,922.96 = 3,042.30 : x
  2. Step 2: Convert to fraction form
    9,283.98/13,922.96 = 3,042.30/x
  3. Step 3: Cross multiply
    9,283.98x = 13,922.96 × 3,042.30
  4. Step 4: Simplify right side
    9,283.98x = 42,357,821.21
  5. Step 5: Solve for x
    x = 42,357,821.21/9,283.98
  6. Step 6: Final answer
    x = 4,562.46

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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.