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Finding the Fourth Proportional to 9,281.49, 13,922.80 and 3,734.82

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Solution

The fourth proportional to 9,281.49, 13,922.80 and 3,734.82 is: 5,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.49 : 13,922.80 = 3,734.82 : x
  2. Step 2: Convert to fraction form
    9,281.49/13,922.80 = 3,734.82/x
  3. Step 3: Cross multiply
    9,281.49x = 13,922.80 × 3,734.82
  4. Step 4: Simplify right side
    9,281.49x = 51,999,151.90
  5. Step 5: Solve for x
    x = 51,999,151.90/9,281.49
  6. Step 6: Final answer
    x = 5,602.46

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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.