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Finding the Fourth Proportional to 6,516.86, 9,775.26 and 4,577.72

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Solution

The fourth proportional to 6,516.86, 9,775.26 and 4,577.72 is: 6,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.86 : 9,775.26 = 4,577.72 : x
  2. Step 2: Convert to fraction form
    6,516.86/9,775.26 = 4,577.72/x
  3. Step 3: Cross multiply
    6,516.86x = 9,775.26 × 4,577.72
  4. Step 4: Simplify right side
    6,516.86x = 44,748,403.21
  5. Step 5: Solve for x
    x = 44,748,403.21/6,516.86
  6. Step 6: Final answer
    x = 6,866.56

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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.