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Finding the Fourth Proportional to 9,880, 14,822.34 and 2,954.68

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Solution

The fourth proportional to 9,880, 14,822.34 and 2,954.68 is: 4,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880 : 14,822.34 = 2,954.68 : x
  2. Step 2: Convert to fraction form
    9,880/14,822.34 = 2,954.68/x
  3. Step 3: Cross multiply
    9,880x = 14,822.34 × 2,954.68
  4. Step 4: Simplify right side
    9,880x = 43,795,271.55
  5. Step 5: Solve for x
    x = 43,795,271.55/9,880
  6. Step 6: Final answer
    x = 4,432.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.