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Finding the Fourth Proportional to 9,114.13, 13,671.19 and 2,958.13

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Solution

The fourth proportional to 9,114.13, 13,671.19 and 2,958.13 is: 4,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.13 : 13,671.19 = 2,958.13 : x
  2. Step 2: Convert to fraction form
    9,114.13/13,671.19 = 2,958.13/x
  3. Step 3: Cross multiply
    9,114.13x = 13,671.19 × 2,958.13
  4. Step 4: Simplify right side
    9,114.13x = 40,441,088.92
  5. Step 5: Solve for x
    x = 40,441,088.92/9,114.13
  6. Step 6: Final answer
    x = 4,437.19

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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.