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Finding the Fourth Proportional to 9,002.50, 13,503.71 and 2,429.34

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Solution

The fourth proportional to 9,002.50, 13,503.71 and 2,429.34 is: 3,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.50 : 13,503.71 = 2,429.34 : x
  2. Step 2: Convert to fraction form
    9,002.50/13,503.71 = 2,429.34/x
  3. Step 3: Cross multiply
    9,002.50x = 13,503.71 × 2,429.34
  4. Step 4: Simplify right side
    9,002.50x = 32,805,102.85
  5. Step 5: Solve for x
    x = 32,805,102.85/9,002.50
  6. Step 6: Final answer
    x = 3,644.00

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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.