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Finding the Fourth Proportional to 9,438.12, 12,971.34 and 7,338.60

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Solution

The fourth proportional to 9,438.12, 12,971.34 and 7,338.60 is: 10,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.12 : 12,971.34 = 7,338.60 : x
  2. Step 2: Convert to fraction form
    9,438.12/12,971.34 = 7,338.60/x
  3. Step 3: Cross multiply
    9,438.12x = 12,971.34 × 7,338.60
  4. Step 4: Simplify right side
    9,438.12x = 95,191,475.72
  5. Step 5: Solve for x
    x = 95,191,475.72/9,438.12
  6. Step 6: Final answer
    x = 10,085.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.