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Finding the Fourth Proportional to 9,487.60, 14,233.19 and 3,643.75

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Solution

The fourth proportional to 9,487.60, 14,233.19 and 3,643.75 is: 5,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.60 : 14,233.19 = 3,643.75 : x
  2. Step 2: Convert to fraction form
    9,487.60/14,233.19 = 3,643.75/x
  3. Step 3: Cross multiply
    9,487.60x = 14,233.19 × 3,643.75
  4. Step 4: Simplify right side
    9,487.60x = 51,862,185.64
  5. Step 5: Solve for x
    x = 51,862,185.64/9,487.60
  6. Step 6: Final answer
    x = 5,466.31

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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.