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Finding the Fourth Proportional to 9,787.26, 14,673.60 and 6,659.40

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Solution

The fourth proportional to 9,787.26, 14,673.60 and 6,659.40 is: 9,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.26 : 14,673.60 = 6,659.40 : x
  2. Step 2: Convert to fraction form
    9,787.26/14,673.60 = 6,659.40/x
  3. Step 3: Cross multiply
    9,787.26x = 14,673.60 × 6,659.40
  4. Step 4: Simplify right side
    9,787.26x = 97,717,371.84
  5. Step 5: Solve for x
    x = 97,717,371.84/9,787.26
  6. Step 6: Final answer
    x = 9,984.14

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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.