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Finding the Fourth Proportional to 6,511.47, 9,783.24 and 4,172.48

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Solution

The fourth proportional to 6,511.47, 9,783.24 and 4,172.48 is: 6,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.47 : 9,783.24 = 4,172.48 : x
  2. Step 2: Convert to fraction form
    6,511.47/9,783.24 = 4,172.48/x
  3. Step 3: Cross multiply
    6,511.47x = 9,783.24 × 4,172.48
  4. Step 4: Simplify right side
    6,511.47x = 40,820,373.24
  5. Step 5: Solve for x
    x = 40,820,373.24/6,511.47
  6. Step 6: Final answer
    x = 6,269.00

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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.