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Finding the Fourth Proportional to 6,485.64, 9,727.53 and 3,703.29

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Solution

The fourth proportional to 6,485.64, 9,727.53 and 3,703.29 is: 5,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.64 : 9,727.53 = 3,703.29 : x
  2. Step 2: Convert to fraction form
    6,485.64/9,727.53 = 3,703.29/x
  3. Step 3: Cross multiply
    6,485.64x = 9,727.53 × 3,703.29
  4. Step 4: Simplify right side
    6,485.64x = 36,023,864.57
  5. Step 5: Solve for x
    x = 36,023,864.57/6,485.64
  6. Step 6: Final answer
    x = 5,554.40

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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.