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Finding the Fourth Proportional to 9,132.52, 12,602.90 and 4,940.80

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Solution

The fourth proportional to 9,132.52, 12,602.90 and 4,940.80 is: 6,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.52 : 12,602.90 = 4,940.80 : x
  2. Step 2: Convert to fraction form
    9,132.52/12,602.90 = 4,940.80/x
  3. Step 3: Cross multiply
    9,132.52x = 12,602.90 × 4,940.80
  4. Step 4: Simplify right side
    9,132.52x = 62,268,408.32
  5. Step 5: Solve for x
    x = 62,268,408.32/9,132.52
  6. Step 6: Final answer
    x = 6,818.32

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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.