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Finding the Fourth Proportional to 9,499.69, 13,109.16 and 5,250.53

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Solution

The fourth proportional to 9,499.69, 13,109.16 and 5,250.53 is: 7,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.69 : 13,109.16 = 5,250.53 : x
  2. Step 2: Convert to fraction form
    9,499.69/13,109.16 = 5,250.53/x
  3. Step 3: Cross multiply
    9,499.69x = 13,109.16 × 5,250.53
  4. Step 4: Simplify right side
    9,499.69x = 68,830,037.85
  5. Step 5: Solve for x
    x = 68,830,037.85/9,499.69
  6. Step 6: Final answer
    x = 7,245.51

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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.