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Finding the Fourth Proportional to 9,586.71, 13,201.05 and 9,368.37

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Solution

The fourth proportional to 9,586.71, 13,201.05 and 9,368.37 is: 12,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.71 : 13,201.05 = 9,368.37 : x
  2. Step 2: Convert to fraction form
    9,586.71/13,201.05 = 9,368.37/x
  3. Step 3: Cross multiply
    9,586.71x = 13,201.05 × 9,368.37
  4. Step 4: Simplify right side
    9,586.71x = 123,672,320.79
  5. Step 5: Solve for x
    x = 123,672,320.79/9,586.71
  6. Step 6: Final answer
    x = 12,900.39

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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.