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Finding the Fourth Proportional to 6,466.86, 8,924.34 and 5,052.18

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Solution

The fourth proportional to 6,466.86, 8,924.34 and 5,052.18 is: 6,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.86 : 8,924.34 = 5,052.18 : x
  2. Step 2: Convert to fraction form
    6,466.86/8,924.34 = 5,052.18/x
  3. Step 3: Cross multiply
    6,466.86x = 8,924.34 × 5,052.18
  4. Step 4: Simplify right side
    6,466.86x = 45,087,372.06
  5. Step 5: Solve for x
    x = 45,087,372.06/6,466.86
  6. Step 6: Final answer
    x = 6,972.07

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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.