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Finding the Fourth Proportional to 9,584.35, 14,369.29 and 6,455.57

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Solution

The fourth proportional to 9,584.35, 14,369.29 and 6,455.57 is: 9,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.35 : 14,369.29 = 6,455.57 : x
  2. Step 2: Convert to fraction form
    9,584.35/14,369.29 = 6,455.57/x
  3. Step 3: Cross multiply
    9,584.35x = 14,369.29 × 6,455.57
  4. Step 4: Simplify right side
    9,584.35x = 92,761,869.46
  5. Step 5: Solve for x
    x = 92,761,869.46/9,584.35
  6. Step 6: Final answer
    x = 9,678.48

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