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Finding the Fourth Proportional to 8,946, 13,425.92 and 6,191.92

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Solution

The fourth proportional to 8,946, 13,425.92 and 6,191.92 is: 9,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 13,425.92 = 6,191.92 : x
  2. Step 2: Convert to fraction form
    8,946/13,425.92 = 6,191.92/x
  3. Step 3: Cross multiply
    8,946x = 13,425.92 × 6,191.92
  4. Step 4: Simplify right side
    8,946x = 83,132,222.57
  5. Step 5: Solve for x
    x = 83,132,222.57/8,946
  6. Step 6: Final answer
    x = 9,292.67

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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.