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Finding the Fourth Proportional to 9,562.64, 14,344.86 and 3,719.70

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Solution

The fourth proportional to 9,562.64, 14,344.86 and 3,719.70 is: 5,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.64 : 14,344.86 = 3,719.70 : x
  2. Step 2: Convert to fraction form
    9,562.64/14,344.86 = 3,719.70/x
  3. Step 3: Cross multiply
    9,562.64x = 14,344.86 × 3,719.70
  4. Step 4: Simplify right side
    9,562.64x = 53,358,575.74
  5. Step 5: Solve for x
    x = 53,358,575.74/9,562.64
  6. Step 6: Final answer
    x = 5,579.90

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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.