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Finding the Fourth Proportional to 6,430.86, 9,630.72 and 4,450.95

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Solution

The fourth proportional to 6,430.86, 9,630.72 and 4,450.95 is: 6,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.86 : 9,630.72 = 4,450.95 : x
  2. Step 2: Convert to fraction form
    6,430.86/9,630.72 = 4,450.95/x
  3. Step 3: Cross multiply
    6,430.86x = 9,630.72 × 4,450.95
  4. Step 4: Simplify right side
    6,430.86x = 42,865,853.18
  5. Step 5: Solve for x
    x = 42,865,853.18/6,430.86
  6. Step 6: Final answer
    x = 6,665.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.