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Finding the Fourth Proportional to 6,450.86, 9,664.50 and 5,417.48

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Solution

The fourth proportional to 6,450.86, 9,664.50 and 5,417.48 is: 8,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.86 : 9,664.50 = 5,417.48 : x
  2. Step 2: Convert to fraction form
    6,450.86/9,664.50 = 5,417.48/x
  3. Step 3: Cross multiply
    6,450.86x = 9,664.50 × 5,417.48
  4. Step 4: Simplify right side
    6,450.86x = 52,357,235.46
  5. Step 5: Solve for x
    x = 52,357,235.46/6,450.86
  6. Step 6: Final answer
    x = 8,116.32

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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.