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Finding the Fourth Proportional to 34,764.36, 52,146 and 8,469.06

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Solution

The fourth proportional to 34,764.36, 52,146 and 8,469.06 is: 12,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,764.36 : 52,146 = 8,469.06 : x
  2. Step 2: Convert to fraction form
    34,764.36/52,146 = 8,469.06/x
  3. Step 3: Cross multiply
    34,764.36x = 52,146 × 8,469.06
  4. Step 4: Simplify right side
    34,764.36x = 441,627,602.76
  5. Step 5: Solve for x
    x = 441,627,602.76/34,764.36
  6. Step 6: Final answer
    x = 12,703.46

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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.