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Finding the Fourth Proportional to 9,252.72, 13,880.16 and 3,705.84

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Solution

The fourth proportional to 9,252.72, 13,880.16 and 3,705.84 is: 5,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.72 : 13,880.16 = 3,705.84 : x
  2. Step 2: Convert to fraction form
    9,252.72/13,880.16 = 3,705.84/x
  3. Step 3: Cross multiply
    9,252.72x = 13,880.16 × 3,705.84
  4. Step 4: Simplify right side
    9,252.72x = 51,437,652.13
  5. Step 5: Solve for x
    x = 51,437,652.13/9,252.72
  6. Step 6: Final answer
    x = 5,559.19

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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.