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Finding the Fourth Proportional to 6,584.94, 9,914.72 and 5,810.04

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Solution

The fourth proportional to 6,584.94, 9,914.72 and 5,810.04 is: 8,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.94 : 9,914.72 = 5,810.04 : x
  2. Step 2: Convert to fraction form
    6,584.94/9,914.72 = 5,810.04/x
  3. Step 3: Cross multiply
    6,584.94x = 9,914.72 × 5,810.04
  4. Step 4: Simplify right side
    6,584.94x = 57,604,890.74
  5. Step 5: Solve for x
    x = 57,604,890.74/6,584.94
  6. Step 6: Final answer
    x = 8,747.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.