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Finding the Fourth Proportional to 9,683.57, 13,340.30 and 9,102.20

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Solution

The fourth proportional to 9,683.57, 13,340.30 and 9,102.20 is: 12,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.57 : 13,340.30 = 9,102.20 : x
  2. Step 2: Convert to fraction form
    9,683.57/13,340.30 = 9,102.20/x
  3. Step 3: Cross multiply
    9,683.57x = 13,340.30 × 9,102.20
  4. Step 4: Simplify right side
    9,683.57x = 121,425,966.45
  5. Step 5: Solve for x
    x = 121,425,966.45/9,683.57
  6. Step 6: Final answer
    x = 12,539.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.