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Finding the Fourth Proportional to 9,454.06, 13,045.08 and 5,676.63

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Solution

The fourth proportional to 9,454.06, 13,045.08 and 5,676.63 is: 7,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.06 : 13,045.08 = 5,676.63 : x
  2. Step 2: Convert to fraction form
    9,454.06/13,045.08 = 5,676.63/x
  3. Step 3: Cross multiply
    9,454.06x = 13,045.08 × 5,676.63
  4. Step 4: Simplify right side
    9,454.06x = 74,052,092.48
  5. Step 5: Solve for x
    x = 74,052,092.48/9,454.06
  6. Step 6: Final answer
    x = 7,832.84

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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.