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Finding the Fourth Proportional to 9,995.75, 13,795.35 and 5,804

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Solution

The fourth proportional to 9,995.75, 13,795.35 and 5,804 is: 8,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.75 : 13,795.35 = 5,804 : x
  2. Step 2: Convert to fraction form
    9,995.75/13,795.35 = 5,804/x
  3. Step 3: Cross multiply
    9,995.75x = 13,795.35 × 5,804
  4. Step 4: Simplify right side
    9,995.75x = 80,068,211.40
  5. Step 5: Solve for x
    x = 80,068,211.40/9,995.75
  6. Step 6: Final answer
    x = 8,010.23

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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.