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Finding the Fourth Proportional to 6,463.64, 8,912.76 and 4,364.12

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Solution

The fourth proportional to 6,463.64, 8,912.76 and 4,364.12 is: 6,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.64 : 8,912.76 = 4,364.12 : x
  2. Step 2: Convert to fraction form
    6,463.64/8,912.76 = 4,364.12/x
  3. Step 3: Cross multiply
    6,463.64x = 8,912.76 × 4,364.12
  4. Step 4: Simplify right side
    6,463.64x = 38,896,354.17
  5. Step 5: Solve for x
    x = 38,896,354.17/6,463.64
  6. Step 6: Final answer
    x = 6,017.72

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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.