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Finding the Fourth Proportional to 9,868.68, 14,806.26 and 4,937.94

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Solution

The fourth proportional to 9,868.68, 14,806.26 and 4,937.94 is: 7,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.68 : 14,806.26 = 4,937.94 : x
  2. Step 2: Convert to fraction form
    9,868.68/14,806.26 = 4,937.94/x
  3. Step 3: Cross multiply
    9,868.68x = 14,806.26 × 4,937.94
  4. Step 4: Simplify right side
    9,868.68x = 73,112,423.50
  5. Step 5: Solve for x
    x = 73,112,423.50/9,868.68
  6. Step 6: Final answer
    x = 7,408.53

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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.