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Finding the Fourth Proportional to 9,358.34, 12,914.43 and 5,166.50

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Solution

The fourth proportional to 9,358.34, 12,914.43 and 5,166.50 is: 7,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.34 : 12,914.43 = 5,166.50 : x
  2. Step 2: Convert to fraction form
    9,358.34/12,914.43 = 5,166.50/x
  3. Step 3: Cross multiply
    9,358.34x = 12,914.43 × 5,166.50
  4. Step 4: Simplify right side
    9,358.34x = 66,722,402.60
  5. Step 5: Solve for x
    x = 66,722,402.60/9,358.34
  6. Step 6: Final answer
    x = 7,129.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.