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Finding the Fourth Proportional to 9,478.50, 14,189.66 and 7,024.33

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Solution

The fourth proportional to 9,478.50, 14,189.66 and 7,024.33 is: 10,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.50 : 14,189.66 = 7,024.33 : x
  2. Step 2: Convert to fraction form
    9,478.50/14,189.66 = 7,024.33/x
  3. Step 3: Cross multiply
    9,478.50x = 14,189.66 × 7,024.33
  4. Step 4: Simplify right side
    9,478.50x = 99,672,854.43
  5. Step 5: Solve for x
    x = 99,672,854.43/9,478.50
  6. Step 6: Final answer
    x = 10,515.68

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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.