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Finding the Fourth Proportional to 4,647.47, 6,411.90 and 4,293.80

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Solution

The fourth proportional to 4,647.47, 6,411.90 and 4,293.80 is: 5,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.47 : 6,411.90 = 4,293.80 : x
  2. Step 2: Convert to fraction form
    4,647.47/6,411.90 = 4,293.80/x
  3. Step 3: Cross multiply
    4,647.47x = 6,411.90 × 4,293.80
  4. Step 4: Simplify right side
    4,647.47x = 27,531,384.16
  5. Step 5: Solve for x
    x = 27,531,384.16/4,647.47
  6. Step 6: Final answer
    x = 5,923.96

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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.