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Finding the Fourth Proportional to 9,624, 14,441.76 and 4,152

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Solution

The fourth proportional to 9,624, 14,441.76 and 4,152 is: 6,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 14,441.76 = 4,152 : x
  2. Step 2: Convert to fraction form
    9,624/14,441.76 = 4,152/x
  3. Step 3: Cross multiply
    9,624x = 14,441.76 × 4,152
  4. Step 4: Simplify right side
    9,624x = 59,962,187.52
  5. Step 5: Solve for x
    x = 59,962,187.52/9,624
  6. Step 6: Final answer
    x = 6,230.48

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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.