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Finding the Fourth Proportional to 6,443.52, 9,666.50 and 2,283.06

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Solution

The fourth proportional to 6,443.52, 9,666.50 and 2,283.06 is: 3,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.52 : 9,666.50 = 2,283.06 : x
  2. Step 2: Convert to fraction form
    6,443.52/9,666.50 = 2,283.06/x
  3. Step 3: Cross multiply
    6,443.52x = 9,666.50 × 2,283.06
  4. Step 4: Simplify right side
    6,443.52x = 22,069,199.49
  5. Step 5: Solve for x
    x = 22,069,199.49/6,443.52
  6. Step 6: Final answer
    x = 3,425.02

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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.