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Finding the Fourth Proportional to 9,259.48, 13,883.06 and 5,101.45

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Solution

The fourth proportional to 9,259.48, 13,883.06 and 5,101.45 is: 7,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.48 : 13,883.06 = 5,101.45 : x
  2. Step 2: Convert to fraction form
    9,259.48/13,883.06 = 5,101.45/x
  3. Step 3: Cross multiply
    9,259.48x = 13,883.06 × 5,101.45
  4. Step 4: Simplify right side
    9,259.48x = 70,823,736.44
  5. Step 5: Solve for x
    x = 70,823,736.44/9,259.48
  6. Step 6: Final answer
    x = 7,648.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.