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Finding the Fourth Proportional to 9,331.50, 12,877.74 and 5,140.02

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Solution

The fourth proportional to 9,331.50, 12,877.74 and 5,140.02 is: 7,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.50 : 12,877.74 = 5,140.02 : x
  2. Step 2: Convert to fraction form
    9,331.50/12,877.74 = 5,140.02/x
  3. Step 3: Cross multiply
    9,331.50x = 12,877.74 × 5,140.02
  4. Step 4: Simplify right side
    9,331.50x = 66,191,841.15
  5. Step 5: Solve for x
    x = 66,191,841.15/9,331.50
  6. Step 6: Final answer
    x = 7,093.38

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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.