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Finding the Fourth Proportional to 9,502, 14,244.84 and 3,654.64

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Solution

The fourth proportional to 9,502, 14,244.84 and 3,654.64 is: 5,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 14,244.84 = 3,654.64 : x
  2. Step 2: Convert to fraction form
    9,502/14,244.84 = 3,654.64/x
  3. Step 3: Cross multiply
    9,502x = 14,244.84 × 3,654.64
  4. Step 4: Simplify right side
    9,502x = 52,059,762.06
  5. Step 5: Solve for x
    x = 52,059,762.06/9,502
  6. Step 6: Final answer
    x = 5,478.82

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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.