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Finding the Fourth Proportional to 9,804, 13,525.56 and 5,823.60

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Solution

The fourth proportional to 9,804, 13,525.56 and 5,823.60 is: 8,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804 : 13,525.56 = 5,823.60 : x
  2. Step 2: Convert to fraction form
    9,804/13,525.56 = 5,823.60/x
  3. Step 3: Cross multiply
    9,804x = 13,525.56 × 5,823.60
  4. Step 4: Simplify right side
    9,804x = 78,767,451.22
  5. Step 5: Solve for x
    x = 78,767,451.22/9,804
  6. Step 6: Final answer
    x = 8,034.22

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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.