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Finding the Fourth Proportional to 9,664.74, 14,482.53 and 7,187.94

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Solution

The fourth proportional to 9,664.74, 14,482.53 and 7,187.94 is: 10,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.74 : 14,482.53 = 7,187.94 : x
  2. Step 2: Convert to fraction form
    9,664.74/14,482.53 = 7,187.94/x
  3. Step 3: Cross multiply
    9,664.74x = 14,482.53 × 7,187.94
  4. Step 4: Simplify right side
    9,664.74x = 104,099,556.69
  5. Step 5: Solve for x
    x = 104,099,556.69/9,664.74
  6. Step 6: Final answer
    x = 10,771.07

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Why These Related Problems?

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