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Finding the Fourth Proportional to 9,242.81, 13,862.50 and 3,002.89

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Solution

The fourth proportional to 9,242.81, 13,862.50 and 3,002.89 is: 4,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.81 : 13,862.50 = 3,002.89 : x
  2. Step 2: Convert to fraction form
    9,242.81/13,862.50 = 3,002.89/x
  3. Step 3: Cross multiply
    9,242.81x = 13,862.50 × 3,002.89
  4. Step 4: Simplify right side
    9,242.81x = 41,627,520.46
  5. Step 5: Solve for x
    x = 41,627,520.46/9,242.81
  6. Step 6: Final answer
    x = 4,503.77

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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.