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Finding the Fourth Proportional to 9,503.24, 13,114.48 and 5,311.48

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Solution

The fourth proportional to 9,503.24, 13,114.48 and 5,311.48 is: 7,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.24 : 13,114.48 = 5,311.48 : x
  2. Step 2: Convert to fraction form
    9,503.24/13,114.48 = 5,311.48/x
  3. Step 3: Cross multiply
    9,503.24x = 13,114.48 × 5,311.48
  4. Step 4: Simplify right side
    9,503.24x = 69,657,298.23
  5. Step 5: Solve for x
    x = 69,657,298.23/9,503.24
  6. Step 6: Final answer
    x = 7,329.85

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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.