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Finding the Fourth Proportional to 6,445.16, 8,939.79 and 6,274.40

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Solution

The fourth proportional to 6,445.16, 8,939.79 and 6,274.40 is: 8,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.16 : 8,939.79 = 6,274.40 : x
  2. Step 2: Convert to fraction form
    6,445.16/8,939.79 = 6,274.40/x
  3. Step 3: Cross multiply
    6,445.16x = 8,939.79 × 6,274.40
  4. Step 4: Simplify right side
    6,445.16x = 56,091,818.38
  5. Step 5: Solve for x
    x = 56,091,818.38/6,445.16
  6. Step 6: Final answer
    x = 8,702.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.