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Finding the Fourth Proportional to 6,103.64, 9,152.21 and 4,156.40

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Solution

The fourth proportional to 6,103.64, 9,152.21 and 4,156.40 is: 6,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.64 : 9,152.21 = 4,156.40 : x
  2. Step 2: Convert to fraction form
    6,103.64/9,152.21 = 4,156.40/x
  3. Step 3: Cross multiply
    6,103.64x = 9,152.21 × 4,156.40
  4. Step 4: Simplify right side
    6,103.64x = 38,040,210.27
  5. Step 5: Solve for x
    x = 38,040,210.27/6,103.64
  6. Step 6: Final answer
    x = 6,232.39

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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.