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Finding the Fourth Proportional to 6,516.78, 9,778.68 and 4,326.54

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Solution

The fourth proportional to 6,516.78, 9,778.68 and 4,326.54 is: 6,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.78 : 9,778.68 = 4,326.54 : x
  2. Step 2: Convert to fraction form
    6,516.78/9,778.68 = 4,326.54/x
  3. Step 3: Cross multiply
    6,516.78x = 9,778.68 × 4,326.54
  4. Step 4: Simplify right side
    6,516.78x = 42,307,850.17
  5. Step 5: Solve for x
    x = 42,307,850.17/6,516.78
  6. Step 6: Final answer
    x = 6,492.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.