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Finding the Fourth Proportional to 9,725.52, 14,592.24 and 4,528.20

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Solution

The fourth proportional to 9,725.52, 14,592.24 and 4,528.20 is: 6,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.52 : 14,592.24 = 4,528.20 : x
  2. Step 2: Convert to fraction form
    9,725.52/14,592.24 = 4,528.20/x
  3. Step 3: Cross multiply
    9,725.52x = 14,592.24 × 4,528.20
  4. Step 4: Simplify right side
    9,725.52x = 66,076,581.17
  5. Step 5: Solve for x
    x = 66,076,581.17/9,725.52
  6. Step 6: Final answer
    x = 6,794.14

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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.