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Finding the Fourth Proportional to 9,451.63, 13,043.25 and 5,259.88

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Solution

The fourth proportional to 9,451.63, 13,043.25 and 5,259.88 is: 7,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.63 : 13,043.25 = 5,259.88 : x
  2. Step 2: Convert to fraction form
    9,451.63/13,043.25 = 5,259.88/x
  3. Step 3: Cross multiply
    9,451.63x = 13,043.25 × 5,259.88
  4. Step 4: Simplify right side
    9,451.63x = 68,605,929.81
  5. Step 5: Solve for x
    x = 68,605,929.81/9,451.63
  6. Step 6: Final answer
    x = 7,258.63

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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.