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Finding the Fourth Proportional to 9,498.69, 13,101.99 and 5,719.26

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Solution

The fourth proportional to 9,498.69, 13,101.99 and 5,719.26 is: 7,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.69 : 13,101.99 = 5,719.26 : x
  2. Step 2: Convert to fraction form
    9,498.69/13,101.99 = 5,719.26/x
  3. Step 3: Cross multiply
    9,498.69x = 13,101.99 × 5,719.26
  4. Step 4: Simplify right side
    9,498.69x = 74,933,687.33
  5. Step 5: Solve for x
    x = 74,933,687.33/9,498.69
  6. Step 6: Final answer
    x = 7,888.84

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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.