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Finding the Fourth Proportional to 9,177.40, 13,765.46 and 2,938.10

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Solution

The fourth proportional to 9,177.40, 13,765.46 and 2,938.10 is: 4,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.40 : 13,765.46 = 2,938.10 : x
  2. Step 2: Convert to fraction form
    9,177.40/13,765.46 = 2,938.10/x
  3. Step 3: Cross multiply
    9,177.40x = 13,765.46 × 2,938.10
  4. Step 4: Simplify right side
    9,177.40x = 40,444,298.03
  5. Step 5: Solve for x
    x = 40,444,298.03/9,177.40
  6. Step 6: Final answer
    x = 4,406.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.