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Finding the Fourth Proportional to 6,407.33, 9,615.85 and 4,322.39

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Solution

The fourth proportional to 6,407.33, 9,615.85 and 4,322.39 is: 6,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.33 : 9,615.85 = 4,322.39 : x
  2. Step 2: Convert to fraction form
    6,407.33/9,615.85 = 4,322.39/x
  3. Step 3: Cross multiply
    6,407.33x = 9,615.85 × 4,322.39
  4. Step 4: Simplify right side
    6,407.33x = 41,563,395.00
  5. Step 5: Solve for x
    x = 41,563,395.00/6,407.33
  6. Step 6: Final answer
    x = 6,486.86

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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.