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Finding the Fourth Proportional to 9,801.08, 14,705.24 and 4,538.64

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Solution

The fourth proportional to 9,801.08, 14,705.24 and 4,538.64 is: 6,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.08 : 14,705.24 = 4,538.64 : x
  2. Step 2: Convert to fraction form
    9,801.08/14,705.24 = 4,538.64/x
  3. Step 3: Cross multiply
    9,801.08x = 14,705.24 × 4,538.64
  4. Step 4: Simplify right side
    9,801.08x = 66,741,790.47
  5. Step 5: Solve for x
    x = 66,741,790.47/9,801.08
  6. Step 6: Final answer
    x = 6,809.64

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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.