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Finding the Fourth Proportional to 9,756.34, 14,634.39 and 3,917.05

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Solution

The fourth proportional to 9,756.34, 14,634.39 and 3,917.05 is: 5,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.34 : 14,634.39 = 3,917.05 : x
  2. Step 2: Convert to fraction form
    9,756.34/14,634.39 = 3,917.05/x
  3. Step 3: Cross multiply
    9,756.34x = 14,634.39 × 3,917.05
  4. Step 4: Simplify right side
    9,756.34x = 57,323,637.35
  5. Step 5: Solve for x
    x = 57,323,637.35/9,756.34
  6. Step 6: Final answer
    x = 5,875.53

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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.