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Finding the Fourth Proportional to 6,369.04, 9,543.02 and 2,471.32

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Solution

The fourth proportional to 6,369.04, 9,543.02 and 2,471.32 is: 3,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.04 : 9,543.02 = 2,471.32 : x
  2. Step 2: Convert to fraction form
    6,369.04/9,543.02 = 2,471.32/x
  3. Step 3: Cross multiply
    6,369.04x = 9,543.02 × 2,471.32
  4. Step 4: Simplify right side
    6,369.04x = 23,583,856.19
  5. Step 5: Solve for x
    x = 23,583,856.19/6,369.04
  6. Step 6: Final answer
    x = 3,702.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.