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Finding the Fourth Proportional to 9,503.16, 13,114.34 and 5,311.41

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Solution

The fourth proportional to 9,503.16, 13,114.34 and 5,311.41 is: 7,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.16 : 13,114.34 = 5,311.41 : x
  2. Step 2: Convert to fraction form
    9,503.16/13,114.34 = 5,311.41/x
  3. Step 3: Cross multiply
    9,503.16x = 13,114.34 × 5,311.41
  4. Step 4: Simplify right side
    9,503.16x = 69,655,636.62
  5. Step 5: Solve for x
    x = 69,655,636.62/9,503.16
  6. Step 6: Final answer
    x = 7,329.73

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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.