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Finding the Fourth Proportional to 9,505.96, 13,117.99 and 5,257.26

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Solution

The fourth proportional to 9,505.96, 13,117.99 and 5,257.26 is: 7,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.96 : 13,117.99 = 5,257.26 : x
  2. Step 2: Convert to fraction form
    9,505.96/13,117.99 = 5,257.26/x
  3. Step 3: Cross multiply
    9,505.96x = 13,117.99 × 5,257.26
  4. Step 4: Simplify right side
    9,505.96x = 68,964,680.82
  5. Step 5: Solve for x
    x = 68,964,680.82/9,505.96
  6. Step 6: Final answer
    x = 7,254.89

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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.