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Finding the Fourth Proportional to 6,405.48, 8,838.92 and 4,727.80

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Solution

The fourth proportional to 6,405.48, 8,838.92 and 4,727.80 is: 6,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.48 : 8,838.92 = 4,727.80 : x
  2. Step 2: Convert to fraction form
    6,405.48/8,838.92 = 4,727.80/x
  3. Step 3: Cross multiply
    6,405.48x = 8,838.92 × 4,727.80
  4. Step 4: Simplify right side
    6,405.48x = 41,788,645.98
  5. Step 5: Solve for x
    x = 41,788,645.98/6,405.48
  6. Step 6: Final answer
    x = 6,523.89

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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.