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Finding the Fourth Proportional to 6,928.69, 9,564.24 and 4,702.09

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Solution

The fourth proportional to 6,928.69, 9,564.24 and 4,702.09 is: 6,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.69 : 9,564.24 = 4,702.09 : x
  2. Step 2: Convert to fraction form
    6,928.69/9,564.24 = 4,702.09/x
  3. Step 3: Cross multiply
    6,928.69x = 9,564.24 × 4,702.09
  4. Step 4: Simplify right side
    6,928.69x = 44,971,917.26
  5. Step 5: Solve for x
    x = 44,971,917.26/6,928.69
  6. Step 6: Final answer
    x = 6,490.68

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