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Finding the Fourth Proportional to 9,913.08, 14,871.91 and 5,756.57

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Solution

The fourth proportional to 9,913.08, 14,871.91 and 5,756.57 is: 8,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.08 : 14,871.91 = 5,756.57 : x
  2. Step 2: Convert to fraction form
    9,913.08/14,871.91 = 5,756.57/x
  3. Step 3: Cross multiply
    9,913.08x = 14,871.91 × 5,756.57
  4. Step 4: Simplify right side
    9,913.08x = 85,611,190.95
  5. Step 5: Solve for x
    x = 85,611,190.95/9,913.08
  6. Step 6: Final answer
    x = 8,636.18

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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.