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Finding the Fourth Proportional to 9,259.70, 13,883.38 and 5,101.66

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Solution

The fourth proportional to 9,259.70, 13,883.38 and 5,101.66 is: 7,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.70 : 13,883.38 = 5,101.66 : x
  2. Step 2: Convert to fraction form
    9,259.70/13,883.38 = 5,101.66/x
  3. Step 3: Cross multiply
    9,259.70x = 13,883.38 × 5,101.66
  4. Step 4: Simplify right side
    9,259.70x = 70,828,284.41
  5. Step 5: Solve for x
    x = 70,828,284.41/9,259.70
  6. Step 6: Final answer
    x = 7,649.09

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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.