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Finding the Fourth Proportional to 9,709.93, 14,564.79 and 3,135.97

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Solution

The fourth proportional to 9,709.93, 14,564.79 and 3,135.97 is: 4,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.93 : 14,564.79 = 3,135.97 : x
  2. Step 2: Convert to fraction form
    9,709.93/14,564.79 = 3,135.97/x
  3. Step 3: Cross multiply
    9,709.93x = 14,564.79 × 3,135.97
  4. Step 4: Simplify right side
    9,709.93x = 45,674,708.08
  5. Step 5: Solve for x
    x = 45,674,708.08/9,709.93
  6. Step 6: Final answer
    x = 4,703.92

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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.