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Finding the Fourth Proportional to 6,423.60, 9,588.96 and 5,942.64

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Solution

The fourth proportional to 6,423.60, 9,588.96 and 5,942.64 is: 8,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.60 : 9,588.96 = 5,942.64 : x
  2. Step 2: Convert to fraction form
    6,423.60/9,588.96 = 5,942.64/x
  3. Step 3: Cross multiply
    6,423.60x = 9,588.96 × 5,942.64
  4. Step 4: Simplify right side
    6,423.60x = 56,983,737.25
  5. Step 5: Solve for x
    x = 56,983,737.25/6,423.60
  6. Step 6: Final answer
    x = 8,871.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.