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Finding the Fourth Proportional to 9,188.16, 12,676.80 and 5,208.96

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Solution

The fourth proportional to 9,188.16, 12,676.80 and 5,208.96 is: 7,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.16 : 12,676.80 = 5,208.96 : x
  2. Step 2: Convert to fraction form
    9,188.16/12,676.80 = 5,208.96/x
  3. Step 3: Cross multiply
    9,188.16x = 12,676.80 × 5,208.96
  4. Step 4: Simplify right side
    9,188.16x = 66,032,944.13
  5. Step 5: Solve for x
    x = 66,032,944.13/9,188.16
  6. Step 6: Final answer
    x = 7,186.74

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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.