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Finding the Fourth Proportional to 9,085.44, 13,619.52 and 3,888

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Solution

The fourth proportional to 9,085.44, 13,619.52 and 3,888 is: 5,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.44 : 13,619.52 = 3,888 : x
  2. Step 2: Convert to fraction form
    9,085.44/13,619.52 = 3,888/x
  3. Step 3: Cross multiply
    9,085.44x = 13,619.52 × 3,888
  4. Step 4: Simplify right side
    9,085.44x = 52,952,693.76
  5. Step 5: Solve for x
    x = 52,952,693.76/9,085.44
  6. Step 6: Final answer
    x = 5,828.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.