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Finding the Fourth Proportional to 9,804.36, 13,520.66 and 6,450

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Solution

The fourth proportional to 9,804.36, 13,520.66 and 6,450 is: 8,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.36 : 13,520.66 = 6,450 : x
  2. Step 2: Convert to fraction form
    9,804.36/13,520.66 = 6,450/x
  3. Step 3: Cross multiply
    9,804.36x = 13,520.66 × 6,450
  4. Step 4: Simplify right side
    9,804.36x = 87,208,257
  5. Step 5: Solve for x
    x = 87,208,257/9,804.36
  6. Step 6: Final answer
    x = 8,894.84

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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.