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Finding the Fourth Proportional to 6,444.69, 9,666.96 and 2,935.90

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Solution

The fourth proportional to 6,444.69, 9,666.96 and 2,935.90 is: 4,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.69 : 9,666.96 = 2,935.90 : x
  2. Step 2: Convert to fraction form
    6,444.69/9,666.96 = 2,935.90/x
  3. Step 3: Cross multiply
    6,444.69x = 9,666.96 × 2,935.90
  4. Step 4: Simplify right side
    6,444.69x = 28,381,227.86
  5. Step 5: Solve for x
    x = 28,381,227.86/6,444.69
  6. Step 6: Final answer
    x = 4,403.82

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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.