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Finding the Fourth Proportional to 9,804.72, 14,707.08 and 3,563.57

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Solution

The fourth proportional to 9,804.72, 14,707.08 and 3,563.57 is: 5,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.72 : 14,707.08 = 3,563.57 : x
  2. Step 2: Convert to fraction form
    9,804.72/14,707.08 = 3,563.57/x
  3. Step 3: Cross multiply
    9,804.72x = 14,707.08 × 3,563.57
  4. Step 4: Simplify right side
    9,804.72x = 52,409,709.08
  5. Step 5: Solve for x
    x = 52,409,709.08/9,804.72
  6. Step 6: Final answer
    x = 5,345.36

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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.