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Finding the Fourth Proportional to 9,378.72, 14,053.50 and 3,532.14

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Solution

The fourth proportional to 9,378.72, 14,053.50 and 3,532.14 is: 5,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.72 : 14,053.50 = 3,532.14 : x
  2. Step 2: Convert to fraction form
    9,378.72/14,053.50 = 3,532.14/x
  3. Step 3: Cross multiply
    9,378.72x = 14,053.50 × 3,532.14
  4. Step 4: Simplify right side
    9,378.72x = 49,638,929.49
  5. Step 5: Solve for x
    x = 49,638,929.49/9,378.72
  6. Step 6: Final answer
    x = 5,292.72

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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.