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Finding the Fourth Proportional to 9,570.14, 13,214.67 and 9,080.90

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Solution

The fourth proportional to 9,570.14, 13,214.67 and 9,080.90 is: 12,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.14 : 13,214.67 = 9,080.90 : x
  2. Step 2: Convert to fraction form
    9,570.14/13,214.67 = 9,080.90/x
  3. Step 3: Cross multiply
    9,570.14x = 13,214.67 × 9,080.90
  4. Step 4: Simplify right side
    9,570.14x = 120,001,096.80
  5. Step 5: Solve for x
    x = 120,001,096.80/9,570.14
  6. Step 6: Final answer
    x = 12,539.12

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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.