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Finding the Fourth Proportional to 34,225.67, 51,341.78 and 9,266.00

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Solution

The fourth proportional to 34,225.67, 51,341.78 and 9,266.00 is: 13,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.67 : 51,341.78 = 9,266.00 : x
  2. Step 2: Convert to fraction form
    34,225.67/51,341.78 = 9,266.00/x
  3. Step 3: Cross multiply
    34,225.67x = 51,341.78 × 9,266.00
  4. Step 4: Simplify right side
    34,225.67x = 475,732,699.94
  5. Step 5: Solve for x
    x = 475,732,699.94/34,225.67
  6. Step 6: Final answer
    x = 13,899.88

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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.