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Finding the Fourth Proportional to 9,451.50, 13,043.07 and 5,259.66

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Solution

The fourth proportional to 9,451.50, 13,043.07 and 5,259.66 is: 7,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.50 : 13,043.07 = 5,259.66 : x
  2. Step 2: Convert to fraction form
    9,451.50/13,043.07 = 5,259.66/x
  3. Step 3: Cross multiply
    9,451.50x = 13,043.07 × 5,259.66
  4. Step 4: Simplify right side
    9,451.50x = 68,602,113.56
  5. Step 5: Solve for x
    x = 68,602,113.56/9,451.50
  6. Step 6: Final answer
    x = 7,258.33

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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.