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Finding the Fourth Proportional to 9,725.57, 14,594.01 and 4,102.88

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Solution

The fourth proportional to 9,725.57, 14,594.01 and 4,102.88 is: 6,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.57 : 14,594.01 = 4,102.88 : x
  2. Step 2: Convert to fraction form
    9,725.57/14,594.01 = 4,102.88/x
  3. Step 3: Cross multiply
    9,725.57x = 14,594.01 × 4,102.88
  4. Step 4: Simplify right side
    9,725.57x = 59,877,398.78
  5. Step 5: Solve for x
    x = 59,877,398.78/9,725.57
  6. Step 6: Final answer
    x = 6,156.70

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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.