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Finding the Fourth Proportional to 9,269.53, 13,902.82 and 3,029.49

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Solution

The fourth proportional to 9,269.53, 13,902.82 and 3,029.49 is: 4,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.53 : 13,902.82 = 3,029.49 : x
  2. Step 2: Convert to fraction form
    9,269.53/13,902.82 = 3,029.49/x
  3. Step 3: Cross multiply
    9,269.53x = 13,902.82 × 3,029.49
  4. Step 4: Simplify right side
    9,269.53x = 42,118,454.16
  5. Step 5: Solve for x
    x = 42,118,454.16/9,269.53
  6. Step 6: Final answer
    x = 4,543.75

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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.