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Finding the Fourth Proportional to 9,804.04, 14,704.48 and 3,563.80

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Solution

The fourth proportional to 9,804.04, 14,704.48 and 3,563.80 is: 5,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.04 : 14,704.48 = 3,563.80 : x
  2. Step 2: Convert to fraction form
    9,804.04/14,704.48 = 3,563.80/x
  3. Step 3: Cross multiply
    9,804.04x = 14,704.48 × 3,563.80
  4. Step 4: Simplify right side
    9,804.04x = 52,403,825.82
  5. Step 5: Solve for x
    x = 52,403,825.82/9,804.04
  6. Step 6: Final answer
    x = 5,345.13

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