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Finding the Fourth Proportional to 9,891.40, 14,842.56 and 4,052.10

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Solution

The fourth proportional to 9,891.40, 14,842.56 and 4,052.10 is: 6,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.40 : 14,842.56 = 4,052.10 : x
  2. Step 2: Convert to fraction form
    9,891.40/14,842.56 = 4,052.10/x
  3. Step 3: Cross multiply
    9,891.40x = 14,842.56 × 4,052.10
  4. Step 4: Simplify right side
    9,891.40x = 60,143,537.38
  5. Step 5: Solve for x
    x = 60,143,537.38/9,891.40
  6. Step 6: Final answer
    x = 6,080.39

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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.