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Finding the Fourth Proportional to 9,357.50, 14,038.68 and 3,515.78

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Solution

The fourth proportional to 9,357.50, 14,038.68 and 3,515.78 is: 5,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.50 : 14,038.68 = 3,515.78 : x
  2. Step 2: Convert to fraction form
    9,357.50/14,038.68 = 3,515.78/x
  3. Step 3: Cross multiply
    9,357.50x = 14,038.68 × 3,515.78
  4. Step 4: Simplify right side
    9,357.50x = 49,356,910.37
  5. Step 5: Solve for x
    x = 49,356,910.37/9,357.50
  6. Step 6: Final answer
    x = 5,274.58

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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.