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Finding the Fourth Proportional to 9,269.34, 13,902.54 and 3,029.30

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Solution

The fourth proportional to 9,269.34, 13,902.54 and 3,029.30 is: 4,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.34 : 13,902.54 = 3,029.30 : x
  2. Step 2: Convert to fraction form
    9,269.34/13,902.54 = 3,029.30/x
  3. Step 3: Cross multiply
    9,269.34x = 13,902.54 × 3,029.30
  4. Step 4: Simplify right side
    9,269.34x = 42,114,964.42
  5. Step 5: Solve for x
    x = 42,114,964.42/9,269.34
  6. Step 6: Final answer
    x = 4,543.47

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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.