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Finding the Fourth Proportional to 34,238.48, 51,353.64 and 9,276.98

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Solution

The fourth proportional to 34,238.48, 51,353.64 and 9,276.98 is: 13,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,238.48 : 51,353.64 = 9,276.98 : x
  2. Step 2: Convert to fraction form
    34,238.48/51,353.64 = 9,276.98/x
  3. Step 3: Cross multiply
    34,238.48x = 51,353.64 × 9,276.98
  4. Step 4: Simplify right side
    34,238.48x = 476,406,434.44
  5. Step 5: Solve for x
    x = 476,406,434.44/34,238.48
  6. Step 6: Final answer
    x = 13,914.36

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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.