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Finding the Fourth Proportional to 7,096.79, 9,788.37 and 4,702.43

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Solution

The fourth proportional to 7,096.79, 9,788.37 and 4,702.43 is: 6,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.79 : 9,788.37 = 4,702.43 : x
  2. Step 2: Convert to fraction form
    7,096.79/9,788.37 = 4,702.43/x
  3. Step 3: Cross multiply
    7,096.79x = 9,788.37 × 4,702.43
  4. Step 4: Simplify right side
    7,096.79x = 46,029,124.74
  5. Step 5: Solve for x
    x = 46,029,124.74/7,096.79
  6. Step 6: Final answer
    x = 6,485.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.