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Finding the Fourth Proportional to 6,364.64, 8,783.28 and 3,532.07

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Solution

The fourth proportional to 6,364.64, 8,783.28 and 3,532.07 is: 4,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.64 : 8,783.28 = 3,532.07 : x
  2. Step 2: Convert to fraction form
    6,364.64/8,783.28 = 3,532.07/x
  3. Step 3: Cross multiply
    6,364.64x = 8,783.28 × 3,532.07
  4. Step 4: Simplify right side
    6,364.64x = 31,023,115.87
  5. Step 5: Solve for x
    x = 31,023,115.87/6,364.64
  6. Step 6: Final answer
    x = 4,874.30

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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.