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Finding the Fourth Proportional to 9,588.69, 13,225.57 and 6,400.38

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Solution

The fourth proportional to 9,588.69, 13,225.57 and 6,400.38 is: 8,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.69 : 13,225.57 = 6,400.38 : x
  2. Step 2: Convert to fraction form
    9,588.69/13,225.57 = 6,400.38/x
  3. Step 3: Cross multiply
    9,588.69x = 13,225.57 × 6,400.38
  4. Step 4: Simplify right side
    9,588.69x = 84,648,615.59
  5. Step 5: Solve for x
    x = 84,648,615.59/9,588.69
  6. Step 6: Final answer
    x = 8,827.97

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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.