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Finding the Fourth Proportional to 9,584.52, 14,382.72 and 3,746.04

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Solution

The fourth proportional to 9,584.52, 14,382.72 and 3,746.04 is: 5,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.52 : 14,382.72 = 3,746.04 : x
  2. Step 2: Convert to fraction form
    9,584.52/14,382.72 = 3,746.04/x
  3. Step 3: Cross multiply
    9,584.52x = 14,382.72 × 3,746.04
  4. Step 4: Simplify right side
    9,584.52x = 53,878,244.43
  5. Step 5: Solve for x
    x = 53,878,244.43/9,584.52
  6. Step 6: Final answer
    x = 5,621.38

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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.