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Finding the Fourth Proportional to 9,537.60, 14,286.78 and 5,632.50

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Solution

The fourth proportional to 9,537.60, 14,286.78 and 5,632.50 is: 8,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.60 : 14,286.78 = 5,632.50 : x
  2. Step 2: Convert to fraction form
    9,537.60/14,286.78 = 5,632.50/x
  3. Step 3: Cross multiply
    9,537.60x = 14,286.78 × 5,632.50
  4. Step 4: Simplify right side
    9,537.60x = 80,470,288.35
  5. Step 5: Solve for x
    x = 80,470,288.35/9,537.60
  6. Step 6: Final answer
    x = 8,437.16

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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.