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Finding the Fourth Proportional to 9,292.15, 13,938.22 and 4,101.67

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Solution

The fourth proportional to 9,292.15, 13,938.22 and 4,101.67 is: 6,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.15 : 13,938.22 = 4,101.67 : x
  2. Step 2: Convert to fraction form
    9,292.15/13,938.22 = 4,101.67/x
  3. Step 3: Cross multiply
    9,292.15x = 13,938.22 × 4,101.67
  4. Step 4: Simplify right side
    9,292.15x = 57,169,909.14
  5. Step 5: Solve for x
    x = 57,169,909.14/9,292.15
  6. Step 6: Final answer
    x = 6,152.50

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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.