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Finding the Fourth Proportional to 6,442.90, 9,666.15 and 3,156.10

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Solution

The fourth proportional to 6,442.90, 9,666.15 and 3,156.10 is: 4,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.90 : 9,666.15 = 3,156.10 : x
  2. Step 2: Convert to fraction form
    6,442.90/9,666.15 = 3,156.10/x
  3. Step 3: Cross multiply
    6,442.90x = 9,666.15 × 3,156.10
  4. Step 4: Simplify right side
    6,442.90x = 30,507,336.02
  5. Step 5: Solve for x
    x = 30,507,336.02/6,442.90
  6. Step 6: Final answer
    x = 4,735.03

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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.