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Finding the Fourth Proportional to 6,656.64, 9,186.16 and 3,672.68

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Solution

The fourth proportional to 6,656.64, 9,186.16 and 3,672.68 is: 5,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.64 : 9,186.16 = 3,672.68 : x
  2. Step 2: Convert to fraction form
    6,656.64/9,186.16 = 3,672.68/x
  3. Step 3: Cross multiply
    6,656.64x = 9,186.16 × 3,672.68
  4. Step 4: Simplify right side
    6,656.64x = 33,737,826.11
  5. Step 5: Solve for x
    x = 33,737,826.11/6,656.64
  6. Step 6: Final answer
    x = 5,068.30

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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.