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Finding the Fourth Proportional to 9,442.10, 14,159.10 and 4,760.30

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Solution

The fourth proportional to 9,442.10, 14,159.10 and 4,760.30 is: 7,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.10 : 14,159.10 = 4,760.30 : x
  2. Step 2: Convert to fraction form
    9,442.10/14,159.10 = 4,760.30/x
  3. Step 3: Cross multiply
    9,442.10x = 14,159.10 × 4,760.30
  4. Step 4: Simplify right side
    9,442.10x = 67,401,563.73
  5. Step 5: Solve for x
    x = 67,401,563.73/9,442.10
  6. Step 6: Final answer
    x = 7,138.41

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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.