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Finding the Fourth Proportional to 9,423.12, 12,990 and 7,181.10

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Solution

The fourth proportional to 9,423.12, 12,990 and 7,181.10 is: 9,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.12 : 12,990 = 7,181.10 : x
  2. Step 2: Convert to fraction form
    9,423.12/12,990 = 7,181.10/x
  3. Step 3: Cross multiply
    9,423.12x = 12,990 × 7,181.10
  4. Step 4: Simplify right side
    9,423.12x = 93,282,489
  5. Step 5: Solve for x
    x = 93,282,489/9,423.12
  6. Step 6: Final answer
    x = 9,899.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.