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Finding the Fourth Proportional to 6,470.41, 9,697.77 and 4,593.35

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Solution

The fourth proportional to 6,470.41, 9,697.77 and 4,593.35 is: 6,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.41 : 9,697.77 = 4,593.35 : x
  2. Step 2: Convert to fraction form
    6,470.41/9,697.77 = 4,593.35/x
  3. Step 3: Cross multiply
    6,470.41x = 9,697.77 × 4,593.35
  4. Step 4: Simplify right side
    6,470.41x = 44,545,251.83
  5. Step 5: Solve for x
    x = 44,545,251.83/6,470.41
  6. Step 6: Final answer
    x = 6,884.46

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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.