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Finding the Fourth Proportional to 9,968.68, 14,958.90 and 3,642.99

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Solution

The fourth proportional to 9,968.68, 14,958.90 and 3,642.99 is: 5,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.68 : 14,958.90 = 3,642.99 : x
  2. Step 2: Convert to fraction form
    9,968.68/14,958.90 = 3,642.99/x
  3. Step 3: Cross multiply
    9,968.68x = 14,958.90 × 3,642.99
  4. Step 4: Simplify right side
    9,968.68x = 54,495,123.11
  5. Step 5: Solve for x
    x = 54,495,123.11/9,968.68
  6. Step 6: Final answer
    x = 5,466.63

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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.