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Finding the Fourth Proportional to 9,564, 14,351.48 and 3,719.86

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Solution

The fourth proportional to 9,564, 14,351.48 and 3,719.86 is: 5,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 14,351.48 = 3,719.86 : x
  2. Step 2: Convert to fraction form
    9,564/14,351.48 = 3,719.86/x
  3. Step 3: Cross multiply
    9,564x = 14,351.48 × 3,719.86
  4. Step 4: Simplify right side
    9,564x = 53,385,496.39
  5. Step 5: Solve for x
    x = 53,385,496.39/9,564
  6. Step 6: Final answer
    x = 5,581.92

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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.