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Finding the Fourth Proportional to 9,289.69, 12,820.38 and 5,097.94

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Solution

The fourth proportional to 9,289.69, 12,820.38 and 5,097.94 is: 7,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.69 : 12,820.38 = 5,097.94 : x
  2. Step 2: Convert to fraction form
    9,289.69/12,820.38 = 5,097.94/x
  3. Step 3: Cross multiply
    9,289.69x = 12,820.38 × 5,097.94
  4. Step 4: Simplify right side
    9,289.69x = 65,357,476.85
  5. Step 5: Solve for x
    x = 65,357,476.85/9,289.69
  6. Step 6: Final answer
    x = 7,035.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.