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Finding the Fourth Proportional to 6,289.50, 9,421.92 and 4,314.90

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Solution

The fourth proportional to 6,289.50, 9,421.92 and 4,314.90 is: 6,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.50 : 9,421.92 = 4,314.90 : x
  2. Step 2: Convert to fraction form
    6,289.50/9,421.92 = 4,314.90/x
  3. Step 3: Cross multiply
    6,289.50x = 9,421.92 × 4,314.90
  4. Step 4: Simplify right side
    6,289.50x = 40,654,642.61
  5. Step 5: Solve for x
    x = 40,654,642.61/6,289.50
  6. Step 6: Final answer
    x = 6,463.89

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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.