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Finding the Fourth Proportional to 9,451.68, 13,042.80 and 5,259.84

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Solution

The fourth proportional to 9,451.68, 13,042.80 and 5,259.84 is: 7,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.68 : 13,042.80 = 5,259.84 : x
  2. Step 2: Convert to fraction form
    9,451.68/13,042.80 = 5,259.84/x
  3. Step 3: Cross multiply
    9,451.68x = 13,042.80 × 5,259.84
  4. Step 4: Simplify right side
    9,451.68x = 68,603,041.15
  5. Step 5: Solve for x
    x = 68,603,041.15/9,451.68
  6. Step 6: Final answer
    x = 7,258.29

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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.