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Finding the Fourth Proportional to 9,725.52, 14,587.68 and 2,800.08

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Solution

The fourth proportional to 9,725.52, 14,587.68 and 2,800.08 is: 4,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.52 : 14,587.68 = 2,800.08 : x
  2. Step 2: Convert to fraction form
    9,725.52/14,587.68 = 2,800.08/x
  3. Step 3: Cross multiply
    9,725.52x = 14,587.68 × 2,800.08
  4. Step 4: Simplify right side
    9,725.52x = 40,846,671.01
  5. Step 5: Solve for x
    x = 40,846,671.01/9,725.52
  6. Step 6: Final answer
    x = 4,199.95

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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.