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Finding the Fourth Proportional to 9,588.99, 13,232.03 and 5,339.73

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Solution

The fourth proportional to 9,588.99, 13,232.03 and 5,339.73 is: 7,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.99 : 13,232.03 = 5,339.73 : x
  2. Step 2: Convert to fraction form
    9,588.99/13,232.03 = 5,339.73/x
  3. Step 3: Cross multiply
    9,588.99x = 13,232.03 × 5,339.73
  4. Step 4: Simplify right side
    9,588.99x = 70,655,440.85
  5. Step 5: Solve for x
    x = 70,655,440.85/9,588.99
  6. Step 6: Final answer
    x = 7,368.39

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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.