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Finding the Fourth Proportional to 9,884.53, 14,829.23 and 6,968.53

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Solution

The fourth proportional to 9,884.53, 14,829.23 and 6,968.53 is: 10,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.53 : 14,829.23 = 6,968.53 : x
  2. Step 2: Convert to fraction form
    9,884.53/14,829.23 = 6,968.53/x
  3. Step 3: Cross multiply
    9,884.53x = 14,829.23 × 6,968.53
  4. Step 4: Simplify right side
    9,884.53x = 103,337,934.13
  5. Step 5: Solve for x
    x = 103,337,934.13/9,884.53
  6. Step 6: Final answer
    x = 10,454.51

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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.