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Finding the Fourth Proportional to 6,400.47, 9,602.23 and 3,280.35

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Solution

The fourth proportional to 6,400.47, 9,602.23 and 3,280.35 is: 4,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.47 : 9,602.23 = 3,280.35 : x
  2. Step 2: Convert to fraction form
    6,400.47/9,602.23 = 3,280.35/x
  3. Step 3: Cross multiply
    6,400.47x = 9,602.23 × 3,280.35
  4. Step 4: Simplify right side
    6,400.47x = 31,498,675.18
  5. Step 5: Solve for x
    x = 31,498,675.18/6,400.47
  6. Step 6: Final answer
    x = 4,921.31

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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.