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Finding the Fourth Proportional to 9,421.70, 14,132.06 and 3,499.72

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Solution

The fourth proportional to 9,421.70, 14,132.06 and 3,499.72 is: 5,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.70 : 14,132.06 = 3,499.72 : x
  2. Step 2: Convert to fraction form
    9,421.70/14,132.06 = 3,499.72/x
  3. Step 3: Cross multiply
    9,421.70x = 14,132.06 × 3,499.72
  4. Step 4: Simplify right side
    9,421.70x = 49,458,253.02
  5. Step 5: Solve for x
    x = 49,458,253.02/9,421.70
  6. Step 6: Final answer
    x = 5,249.40

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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.