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Finding the Fourth Proportional to 7,164.41, 9,886.64 and 4,020.57

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Solution

The fourth proportional to 7,164.41, 9,886.64 and 4,020.57 is: 5,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.41 : 9,886.64 = 4,020.57 : x
  2. Step 2: Convert to fraction form
    7,164.41/9,886.64 = 4,020.57/x
  3. Step 3: Cross multiply
    7,164.41x = 9,886.64 × 4,020.57
  4. Step 4: Simplify right side
    7,164.41x = 39,749,908.08
  5. Step 5: Solve for x
    x = 39,749,908.08/7,164.41
  6. Step 6: Final answer
    x = 5,548.25

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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.