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Finding the Fourth Proportional to 9,274.90, 13,913.25 and 2,700.94

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Solution

The fourth proportional to 9,274.90, 13,913.25 and 2,700.94 is: 4,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.90 : 13,913.25 = 2,700.94 : x
  2. Step 2: Convert to fraction form
    9,274.90/13,913.25 = 2,700.94/x
  3. Step 3: Cross multiply
    9,274.90x = 13,913.25 × 2,700.94
  4. Step 4: Simplify right side
    9,274.90x = 37,578,853.46
  5. Step 5: Solve for x
    x = 37,578,853.46/9,274.90
  6. Step 6: Final answer
    x = 4,051.67

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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.