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Finding the Fourth Proportional to 9,298.32, 13,938.72 and 3,138

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Solution

The fourth proportional to 9,298.32, 13,938.72 and 3,138 is: 4,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.32 : 13,938.72 = 3,138 : x
  2. Step 2: Convert to fraction form
    9,298.32/13,938.72 = 3,138/x
  3. Step 3: Cross multiply
    9,298.32x = 13,938.72 × 3,138
  4. Step 4: Simplify right side
    9,298.32x = 43,739,703.36
  5. Step 5: Solve for x
    x = 43,739,703.36/9,298.32
  6. Step 6: Final answer
    x = 4,704.04

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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.