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Finding the Fourth Proportional to 34,008, 51,014.94 and 9,384

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Solution

The fourth proportional to 34,008, 51,014.94 and 9,384 is: 14,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008 : 51,014.94 = 9,384 : x
  2. Step 2: Convert to fraction form
    34,008/51,014.94 = 9,384/x
  3. Step 3: Cross multiply
    34,008x = 51,014.94 × 9,384
  4. Step 4: Simplify right side
    34,008x = 478,724,196.96
  5. Step 5: Solve for x
    x = 478,724,196.96/34,008
  6. Step 6: Final answer
    x = 14,076.81

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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.