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Finding the Fourth Proportional to 9,502, 14,253.54 and 3,955.84

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Solution

The fourth proportional to 9,502, 14,253.54 and 3,955.84 is: 5,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 14,253.54 = 3,955.84 : x
  2. Step 2: Convert to fraction form
    9,502/14,253.54 = 3,955.84/x
  3. Step 3: Cross multiply
    9,502x = 14,253.54 × 3,955.84
  4. Step 4: Simplify right side
    9,502x = 56,384,723.67
  5. Step 5: Solve for x
    x = 56,384,723.67/9,502
  6. Step 6: Final answer
    x = 5,933.98

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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.