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Finding the Fourth Proportional to 6,423.72, 9,632.34 and 2,958

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Solution

The fourth proportional to 6,423.72, 9,632.34 and 2,958 is: 4,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.72 : 9,632.34 = 2,958 : x
  2. Step 2: Convert to fraction form
    6,423.72/9,632.34 = 2,958/x
  3. Step 3: Cross multiply
    6,423.72x = 9,632.34 × 2,958
  4. Step 4: Simplify right side
    6,423.72x = 28,492,461.72
  5. Step 5: Solve for x
    x = 28,492,461.72/6,423.72
  6. Step 6: Final answer
    x = 4,435.51

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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.