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Finding the Fourth Proportional to 9,842.26, 13,574.64 and 6,305.80

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Solution

The fourth proportional to 9,842.26, 13,574.64 and 6,305.80 is: 8,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.26 : 13,574.64 = 6,305.80 : x
  2. Step 2: Convert to fraction form
    9,842.26/13,574.64 = 6,305.80/x
  3. Step 3: Cross multiply
    9,842.26x = 13,574.64 × 6,305.80
  4. Step 4: Simplify right side
    9,842.26x = 85,598,964.91
  5. Step 5: Solve for x
    x = 85,598,964.91/9,842.26
  6. Step 6: Final answer
    x = 8,697.08

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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.