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Finding the Fourth Proportional to 9,804.25, 14,698.10 and 4,253.41

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Solution

The fourth proportional to 9,804.25, 14,698.10 and 4,253.41 is: 6,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.25 : 14,698.10 = 4,253.41 : x
  2. Step 2: Convert to fraction form
    9,804.25/14,698.10 = 4,253.41/x
  3. Step 3: Cross multiply
    9,804.25x = 14,698.10 × 4,253.41
  4. Step 4: Simplify right side
    9,804.25x = 62,517,045.52
  5. Step 5: Solve for x
    x = 62,517,045.52/9,804.25
  6. Step 6: Final answer
    x = 6,376.53

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Why These Related Problems?

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