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Finding the Fourth Proportional to 9,069.06, 12,505.14 and 5,707.75

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Solution

The fourth proportional to 9,069.06, 12,505.14 and 5,707.75 is: 7,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.06 : 12,505.14 = 5,707.75 : x
  2. Step 2: Convert to fraction form
    9,069.06/12,505.14 = 5,707.75/x
  3. Step 3: Cross multiply
    9,069.06x = 12,505.14 × 5,707.75
  4. Step 4: Simplify right side
    9,069.06x = 71,376,212.84
  5. Step 5: Solve for x
    x = 71,376,212.84/9,069.06
  6. Step 6: Final answer
    x = 7,870.30

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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.