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Finding the Fourth Proportional to 9,503.13, 13,113.90 and 5,196.14

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Solution

The fourth proportional to 9,503.13, 13,113.90 and 5,196.14 is: 7,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.13 : 13,113.90 = 5,196.14 : x
  2. Step 2: Convert to fraction form
    9,503.13/13,113.90 = 5,196.14/x
  3. Step 3: Cross multiply
    9,503.13x = 13,113.90 × 5,196.14
  4. Step 4: Simplify right side
    9,503.13x = 68,141,627.56
  5. Step 5: Solve for x
    x = 68,141,627.56/9,503.13
  6. Step 6: Final answer
    x = 7,170.44

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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.