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Finding the Fourth Proportional to 6,405.52, 9,608.82 and 4,685.08

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Solution

The fourth proportional to 6,405.52, 9,608.82 and 4,685.08 is: 7,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.52 : 9,608.82 = 4,685.08 : x
  2. Step 2: Convert to fraction form
    6,405.52/9,608.82 = 4,685.08/x
  3. Step 3: Cross multiply
    6,405.52x = 9,608.82 × 4,685.08
  4. Step 4: Simplify right side
    6,405.52x = 45,018,090.41
  5. Step 5: Solve for x
    x = 45,018,090.41/6,405.52
  6. Step 6: Final answer
    x = 7,028.01

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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.