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Finding the Fourth Proportional to 8,734.40, 13,114.40 and 6,148.80

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Solution

The fourth proportional to 8,734.40, 13,114.40 and 6,148.80 is: 9,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.40 : 13,114.40 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    8,734.40/13,114.40 = 6,148.80/x
  3. Step 3: Cross multiply
    8,734.40x = 13,114.40 × 6,148.80
  4. Step 4: Simplify right side
    8,734.40x = 80,637,822.72
  5. Step 5: Solve for x
    x = 80,637,822.72/8,734.40
  6. Step 6: Final answer
    x = 9,232.21

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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.