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Finding the Fourth Proportional to 6,407.42, 9,591.08 and 4,152.92

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Solution

The fourth proportional to 6,407.42, 9,591.08 and 4,152.92 is: 6,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.42 : 9,591.08 = 4,152.92 : x
  2. Step 2: Convert to fraction form
    6,407.42/9,591.08 = 4,152.92/x
  3. Step 3: Cross multiply
    6,407.42x = 9,591.08 × 4,152.92
  4. Step 4: Simplify right side
    6,407.42x = 39,830,919.23
  5. Step 5: Solve for x
    x = 39,830,919.23/6,407.42
  6. Step 6: Final answer
    x = 6,216.38

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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.