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Finding the Fourth Proportional to 6,112.64, 9,129.53 and 6,069.80

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Solution

The fourth proportional to 6,112.64, 9,129.53 and 6,069.80 is: 9,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.64 : 9,129.53 = 6,069.80 : x
  2. Step 2: Convert to fraction form
    6,112.64/9,129.53 = 6,069.80/x
  3. Step 3: Cross multiply
    6,112.64x = 9,129.53 × 6,069.80
  4. Step 4: Simplify right side
    6,112.64x = 55,414,459.19
  5. Step 5: Solve for x
    x = 55,414,459.19/6,112.64
  6. Step 6: Final answer
    x = 9,065.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.