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Finding the Fourth Proportional to 9,503.76, 13,113.72 and 5,311.20

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Solution

The fourth proportional to 9,503.76, 13,113.72 and 5,311.20 is: 7,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.76 : 13,113.72 = 5,311.20 : x
  2. Step 2: Convert to fraction form
    9,503.76/13,113.72 = 5,311.20/x
  3. Step 3: Cross multiply
    9,503.76x = 13,113.72 × 5,311.20
  4. Step 4: Simplify right side
    9,503.76x = 69,649,589.66
  5. Step 5: Solve for x
    x = 69,649,589.66/9,503.76
  6. Step 6: Final answer
    x = 7,328.64

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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.