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Finding the Fourth Proportional to 9,143.71, 12,609.37 and 5,559.16

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Solution

The fourth proportional to 9,143.71, 12,609.37 and 5,559.16 is: 7,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.71 : 12,609.37 = 5,559.16 : x
  2. Step 2: Convert to fraction form
    9,143.71/12,609.37 = 5,559.16/x
  3. Step 3: Cross multiply
    9,143.71x = 12,609.37 × 5,559.16
  4. Step 4: Simplify right side
    9,143.71x = 70,097,505.33
  5. Step 5: Solve for x
    x = 70,097,505.33/9,143.71
  6. Step 6: Final answer
    x = 7,666.20

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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.