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Finding the Fourth Proportional to 9,314.10, 13,970.07 and 2,740.14

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Solution

The fourth proportional to 9,314.10, 13,970.07 and 2,740.14 is: 4,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.10 : 13,970.07 = 2,740.14 : x
  2. Step 2: Convert to fraction form
    9,314.10/13,970.07 = 2,740.14/x
  3. Step 3: Cross multiply
    9,314.10x = 13,970.07 × 2,740.14
  4. Step 4: Simplify right side
    9,314.10x = 38,279,947.61
  5. Step 5: Solve for x
    x = 38,279,947.61/9,314.10
  6. Step 6: Final answer
    x = 4,109.89

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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.