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Finding the Fourth Proportional to 9,403.34, 12,976.62 and 5,211.50

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Solution

The fourth proportional to 9,403.34, 12,976.62 and 5,211.50 is: 7,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.34 : 12,976.62 = 5,211.50 : x
  2. Step 2: Convert to fraction form
    9,403.34/12,976.62 = 5,211.50/x
  3. Step 3: Cross multiply
    9,403.34x = 12,976.62 × 5,211.50
  4. Step 4: Simplify right side
    9,403.34x = 67,627,655.13
  5. Step 5: Solve for x
    x = 67,627,655.13/9,403.34
  6. Step 6: Final answer
    x = 7,191.88

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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.