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Finding the Fourth Proportional to 9,573.14, 14,360.49 and 2,647.64

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Solution

The fourth proportional to 9,573.14, 14,360.49 and 2,647.64 is: 3,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.14 : 14,360.49 = 2,647.64 : x
  2. Step 2: Convert to fraction form
    9,573.14/14,360.49 = 2,647.64/x
  3. Step 3: Cross multiply
    9,573.14x = 14,360.49 × 2,647.64
  4. Step 4: Simplify right side
    9,573.14x = 38,021,407.74
  5. Step 5: Solve for x
    x = 38,021,407.74/9,573.14
  6. Step 6: Final answer
    x = 3,971.68

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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.