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Finding the Fourth Proportional to 9,513.79, 14,274.78 and 3,674.50

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Solution

The fourth proportional to 9,513.79, 14,274.78 and 3,674.50 is: 5,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.79 : 14,274.78 = 3,674.50 : x
  2. Step 2: Convert to fraction form
    9,513.79/14,274.78 = 3,674.50/x
  3. Step 3: Cross multiply
    9,513.79x = 14,274.78 × 3,674.50
  4. Step 4: Simplify right side
    9,513.79x = 52,452,679.11
  5. Step 5: Solve for x
    x = 52,452,679.11/9,513.79
  6. Step 6: Final answer
    x = 5,513.33

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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.