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Finding the Fourth Proportional to 9,428.40, 14,135.40 and 5,729.76

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Solution

The fourth proportional to 9,428.40, 14,135.40 and 5,729.76 is: 8,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.40 : 14,135.40 = 5,729.76 : x
  2. Step 2: Convert to fraction form
    9,428.40/14,135.40 = 5,729.76/x
  3. Step 3: Cross multiply
    9,428.40x = 14,135.40 × 5,729.76
  4. Step 4: Simplify right side
    9,428.40x = 80,992,449.50
  5. Step 5: Solve for x
    x = 80,992,449.50/9,428.40
  6. Step 6: Final answer
    x = 8,590.26

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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.