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Finding the Fourth Proportional to 9,940.20, 14,878.32 and 5,253.60

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Solution

The fourth proportional to 9,940.20, 14,878.32 and 5,253.60 is: 7,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.20 : 14,878.32 = 5,253.60 : x
  2. Step 2: Convert to fraction form
    9,940.20/14,878.32 = 5,253.60/x
  3. Step 3: Cross multiply
    9,940.20x = 14,878.32 × 5,253.60
  4. Step 4: Simplify right side
    9,940.20x = 78,164,741.95
  5. Step 5: Solve for x
    x = 78,164,741.95/9,940.20
  6. Step 6: Final answer
    x = 7,863.50

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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.