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Finding the Fourth Proportional to 6,651.41, 9,182.70 and 4,416.35

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Solution

The fourth proportional to 6,651.41, 9,182.70 and 4,416.35 is: 6,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.41 : 9,182.70 = 4,416.35 : x
  2. Step 2: Convert to fraction form
    6,651.41/9,182.70 = 4,416.35/x
  3. Step 3: Cross multiply
    6,651.41x = 9,182.70 × 4,416.35
  4. Step 4: Simplify right side
    6,651.41x = 40,553,971.23
  5. Step 5: Solve for x
    x = 40,553,971.23/6,651.41
  6. Step 6: Final answer
    x = 6,097.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.