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Finding the Fourth Proportional to 9,863.04, 13,611.02 and 5,386.80

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Solution

The fourth proportional to 9,863.04, 13,611.02 and 5,386.80 is: 7,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.04 : 13,611.02 = 5,386.80 : x
  2. Step 2: Convert to fraction form
    9,863.04/13,611.02 = 5,386.80/x
  3. Step 3: Cross multiply
    9,863.04x = 13,611.02 × 5,386.80
  4. Step 4: Simplify right side
    9,863.04x = 73,319,842.54
  5. Step 5: Solve for x
    x = 73,319,842.54/9,863.04
  6. Step 6: Final answer
    x = 7,433.80

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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.