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Finding the Fourth Proportional to 6,302.53, 8,709.47 and 4,727.89

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Solution

The fourth proportional to 6,302.53, 8,709.47 and 4,727.89 is: 6,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.53 : 8,709.47 = 4,727.89 : x
  2. Step 2: Convert to fraction form
    6,302.53/8,709.47 = 4,727.89/x
  3. Step 3: Cross multiply
    6,302.53x = 8,709.47 × 4,727.89
  4. Step 4: Simplify right side
    6,302.53x = 41,177,384.39
  5. Step 5: Solve for x
    x = 41,177,384.39/6,302.53
  6. Step 6: Final answer
    x = 6,533.47

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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.