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Finding the Fourth Proportional to 9,509.84, 14,264.58 and 2,584.16

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Solution

The fourth proportional to 9,509.84, 14,264.58 and 2,584.16 is: 3,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.84 : 14,264.58 = 2,584.16 : x
  2. Step 2: Convert to fraction form
    9,509.84/14,264.58 = 2,584.16/x
  3. Step 3: Cross multiply
    9,509.84x = 14,264.58 × 2,584.16
  4. Step 4: Simplify right side
    9,509.84x = 36,861,957.05
  5. Step 5: Solve for x
    x = 36,861,957.05/9,509.84
  6. Step 6: Final answer
    x = 3,876.19

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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.