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Finding the Fourth Proportional to 9,094.60, 13,641.90 and 2,938.60

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Solution

The fourth proportional to 9,094.60, 13,641.90 and 2,938.60 is: 4,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.60 : 13,641.90 = 2,938.60 : x
  2. Step 2: Convert to fraction form
    9,094.60/13,641.90 = 2,938.60/x
  3. Step 3: Cross multiply
    9,094.60x = 13,641.90 × 2,938.60
  4. Step 4: Simplify right side
    9,094.60x = 40,088,087.34
  5. Step 5: Solve for x
    x = 40,088,087.34/9,094.60
  6. Step 6: Final answer
    x = 4,407.90

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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.