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Finding the Fourth Proportional to 9,804.09, 13,516.40 and 6,654.81

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Solution

The fourth proportional to 9,804.09, 13,516.40 and 6,654.81 is: 9,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.09 : 13,516.40 = 6,654.81 : x
  2. Step 2: Convert to fraction form
    9,804.09/13,516.40 = 6,654.81/x
  3. Step 3: Cross multiply
    9,804.09x = 13,516.40 × 6,654.81
  4. Step 4: Simplify right side
    9,804.09x = 89,949,040.61
  5. Step 5: Solve for x
    x = 89,949,040.61/9,804.09
  6. Step 6: Final answer
    x = 9,174.64

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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.