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Finding the Fourth Proportional to 6,416.46, 9,633.60 and 4,239.18

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Solution

The fourth proportional to 6,416.46, 9,633.60 and 4,239.18 is: 6,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.46 : 9,633.60 = 4,239.18 : x
  2. Step 2: Convert to fraction form
    6,416.46/9,633.60 = 4,239.18/x
  3. Step 3: Cross multiply
    6,416.46x = 9,633.60 × 4,239.18
  4. Step 4: Simplify right side
    6,416.46x = 40,838,564.45
  5. Step 5: Solve for x
    x = 40,838,564.45/6,416.46
  6. Step 6: Final answer
    x = 6,364.66

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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.