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Finding the Fourth Proportional to 9,672.62, 14,513.03 and 5,284.95

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Solution

The fourth proportional to 9,672.62, 14,513.03 and 5,284.95 is: 7,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.62 : 14,513.03 = 5,284.95 : x
  2. Step 2: Convert to fraction form
    9,672.62/14,513.03 = 5,284.95/x
  3. Step 3: Cross multiply
    9,672.62x = 14,513.03 × 5,284.95
  4. Step 4: Simplify right side
    9,672.62x = 76,700,637.90
  5. Step 5: Solve for x
    x = 76,700,637.90/9,672.62
  6. Step 6: Final answer
    x = 7,929.67

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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.