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Finding the Fourth Proportional to 9,562, 14,339.36 and 3,717.84

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Solution

The fourth proportional to 9,562, 14,339.36 and 3,717.84 is: 5,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562 : 14,339.36 = 3,717.84 : x
  2. Step 2: Convert to fraction form
    9,562/14,339.36 = 3,717.84/x
  3. Step 3: Cross multiply
    9,562x = 14,339.36 × 3,717.84
  4. Step 4: Simplify right side
    9,562x = 53,311,446.18
  5. Step 5: Solve for x
    x = 53,311,446.18/9,562
  6. Step 6: Final answer
    x = 5,575.34

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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.