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Finding the Fourth Proportional to 9,857.57, 14,787.06 and 3,102.57

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Solution

The fourth proportional to 9,857.57, 14,787.06 and 3,102.57 is: 4,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.57 : 14,787.06 = 3,102.57 : x
  2. Step 2: Convert to fraction form
    9,857.57/14,787.06 = 3,102.57/x
  3. Step 3: Cross multiply
    9,857.57x = 14,787.06 × 3,102.57
  4. Step 4: Simplify right side
    9,857.57x = 45,877,877.11
  5. Step 5: Solve for x
    x = 45,877,877.11/9,857.57
  6. Step 6: Final answer
    x = 4,654.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.