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Finding the Fourth Proportional to 9,294.15, 13,941.22 and 4,103.67

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Solution

The fourth proportional to 9,294.15, 13,941.22 and 4,103.67 is: 6,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.15 : 13,941.22 = 4,103.67 : x
  2. Step 2: Convert to fraction form
    9,294.15/13,941.22 = 4,103.67/x
  3. Step 3: Cross multiply
    9,294.15x = 13,941.22 × 4,103.67
  4. Step 4: Simplify right side
    9,294.15x = 57,210,166.28
  5. Step 5: Solve for x
    x = 57,210,166.28/9,294.15
  6. Step 6: Final answer
    x = 6,155.50

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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.