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Finding the Fourth Proportional to 6,523.60, 9,785.40 and 4,325.20

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Solution

The fourth proportional to 6,523.60, 9,785.40 and 4,325.20 is: 6,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.60 : 9,785.40 = 4,325.20 : x
  2. Step 2: Convert to fraction form
    6,523.60/9,785.40 = 4,325.20/x
  3. Step 3: Cross multiply
    6,523.60x = 9,785.40 × 4,325.20
  4. Step 4: Simplify right side
    6,523.60x = 42,323,812.08
  5. Step 5: Solve for x
    x = 42,323,812.08/6,523.60
  6. Step 6: Final answer
    x = 6,487.80

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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.