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Finding the Fourth Proportional to 9,556.25, 14,332.10 and 4,009.70

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Solution

The fourth proportional to 9,556.25, 14,332.10 and 4,009.70 is: 6,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.25 : 14,332.10 = 4,009.70 : x
  2. Step 2: Convert to fraction form
    9,556.25/14,332.10 = 4,009.70/x
  3. Step 3: Cross multiply
    9,556.25x = 14,332.10 × 4,009.70
  4. Step 4: Simplify right side
    9,556.25x = 57,467,383.41
  5. Step 5: Solve for x
    x = 57,467,383.41/9,556.25
  6. Step 6: Final answer
    x = 6,013.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.