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Finding the Fourth Proportional to 34,474.84, 51,715.23 and 9,514.89

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Solution

The fourth proportional to 34,474.84, 51,715.23 and 9,514.89 is: 14,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.84 : 51,715.23 = 9,514.89 : x
  2. Step 2: Convert to fraction form
    34,474.84/51,715.23 = 9,514.89/x
  3. Step 3: Cross multiply
    34,474.84x = 51,715.23 × 9,514.89
  4. Step 4: Simplify right side
    34,474.84x = 492,064,466.20
  5. Step 5: Solve for x
    x = 492,064,466.20/34,474.84
  6. Step 6: Final answer
    x = 14,273.15

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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.