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Finding the Fourth Proportional to 6,442.02, 9,665.10 and 3,155.40

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Solution

The fourth proportional to 6,442.02, 9,665.10 and 3,155.40 is: 4,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.02 : 9,665.10 = 3,155.40 : x
  2. Step 2: Convert to fraction form
    6,442.02/9,665.10 = 3,155.40/x
  3. Step 3: Cross multiply
    6,442.02x = 9,665.10 × 3,155.40
  4. Step 4: Simplify right side
    6,442.02x = 30,497,256.54
  5. Step 5: Solve for x
    x = 30,497,256.54/6,442.02
  6. Step 6: Final answer
    x = 4,734.11

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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.