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Finding the Fourth Proportional to 9,813, 14,715.90 and 3,237.24

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Solution

The fourth proportional to 9,813, 14,715.90 and 3,237.24 is: 4,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813 : 14,715.90 = 3,237.24 : x
  2. Step 2: Convert to fraction form
    9,813/14,715.90 = 3,237.24/x
  3. Step 3: Cross multiply
    9,813x = 14,715.90 × 3,237.24
  4. Step 4: Simplify right side
    9,813x = 47,638,900.12
  5. Step 5: Solve for x
    x = 47,638,900.12/9,813
  6. Step 6: Final answer
    x = 4,854.67

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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.