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Finding the Fourth Proportional to 6,256.40, 9,372.45 and 4,288.10

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Solution

The fourth proportional to 6,256.40, 9,372.45 and 4,288.10 is: 6,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.40 : 9,372.45 = 4,288.10 : x
  2. Step 2: Convert to fraction form
    6,256.40/9,372.45 = 4,288.10/x
  3. Step 3: Cross multiply
    6,256.40x = 9,372.45 × 4,288.10
  4. Step 4: Simplify right side
    6,256.40x = 40,190,002.85
  5. Step 5: Solve for x
    x = 40,190,002.85/6,256.40
  6. Step 6: Final answer
    x = 6,423.82

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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.